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Writing y = mx + b from a Graph — Easy Worksheet 2
Grade 8 · Whoobee Name: ____________________ Date: __________
Write the equation of each line in the form y = mx + b. Write a fraction slope in brackets, like y = (2/3)x + 1.
How to solve
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Example
Write the equation of the line in the form y = mx + b.
Answer: y = 3x - 1
Not quite. The answer is
💡 The line crosses the y-axis at (0, −1), so b = −1. From (0, −1) to (2, 5) the line goes up 6 and right 2, so m = 6 ÷ 2 = 3. So y = 3x − 1.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, −1), so b = −1. From (0, −1) to (2, 5) the line goes up 6 and right 2, so m = 6 ÷ 2 = 3. So y = 3x − 1.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The line crosses the y-axis at (0, −3), so b = −3. From (0, −3) to (1, −1) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x − 3.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, −3), so b = −3. From (0, −3) to (1, −1) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x − 3.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The line crosses the y-axis at (0, 1), so b = 1. From (0, 1) to (2, 5) the line goes up 4 and right 2, so m = 4 ÷ 2 = 2. So y = 2x + 1.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, 1), so b = 1. From (0, 1) to (2, 5) the line goes up 4 and right 2, so m = 4 ÷ 2 = 2. So y = 2x + 1.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The line crosses the y-axis at (0, 1), so b = 1. From (0, 1) to (1, 4) the line goes up 3 and right 1, so m = 3 ÷ 1 = 3. So y = 3x + 1.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, 1), so b = 1. From (0, 1) to (1, 4) the line goes up 3 and right 1, so m = 3 ÷ 1 = 3. So y = 3x + 1.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The line crosses the y-axis at (0, 1), so b = 1. From (0, 1) to (1, 3) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x + 1.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, 1), so b = 1. From (0, 1) to (1, 3) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x + 1.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The line crosses the y-axis at (0, −2), so b = −2. From (0, −2) to (2, 2) the line goes up 4 and right 2, so m = 4 ÷ 2 = 2. So y = 2x − 2.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, −2), so b = −2. From (0, −2) to (2, 2) the line goes up 4 and right 2, so m = 4 ÷ 2 = 2. So y = 2x − 2.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The line crosses the y-axis at (0, −2), so b = −2. From (0, −2) to (1, 0) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x − 2.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, −2), so b = −2. From (0, −2) to (1, 0) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x − 2.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The line crosses the y-axis at (0, −1), so b = −1. From (0, −1) to (1, 1) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x − 1.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, −1), so b = −1. From (0, −1) to (1, 1) the line goes up 2 and right 1, so m = 2 ÷ 1 = 2. So y = 2x − 1.
💡 How to solve: Writing y = mx + b from a Graph
Find b first: it is the y-value where the line crosses the y-axis. Then find the slope m from two points on the line: count how far up (+) or down (-) the line goes (the rise) and how far right it goes (the run), and work out rise ÷ run. Put both numbers into y = mx + b.
Try a similar one
Write the equation of the line in the form y = mx + b.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Writing y = mx + b from a Graph — Easy Worksheet 2
Write the equation of each line in the form y = mx + b. Write a fraction slope in brackets, like y = (2/3)x + 1.