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Writing y = mx + b from Slope & y-Intercept — 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
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Example
A line has slope 2 and has y-intercept 5. Write its equation in the form y = mx + b.
Answer: y = 2x + 5
Not quite. The answer is
💡 Put m = 4 and b = 4 into y = mx + b: y = 4x + 4.
✓ Correct!
Not quite. The answer is
💡 Put m = 4 and b = 4 into y = mx + b: y = 4x + 4.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 5 and has y-intercept 2. Write its equation 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
💡 Put m = 2 and b = 6 into y = mx + b: y = 2x + 6.
✓ Correct!
Not quite. The answer is
💡 Put m = 2 and b = 6 into y = mx + b: y = 2x + 6.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 3 and has y-intercept 9. Write its equation 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
💡 Put m = 5 and b = 4 into y = mx + b: y = 5x + 4.
✓ Correct!
Not quite. The answer is
💡 Put m = 5 and b = 4 into y = mx + b: y = 5x + 4.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 2 and has y-intercept 6. Write its equation 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
💡 Put m = 3 and b = 1 into y = mx + b: y = 3x + 1.
✓ Correct!
Not quite. The answer is
💡 Put m = 3 and b = 1 into y = mx + b: y = 3x + 1.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 3 and has y-intercept 4. Write its equation 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
💡 Put m = 1 and b = 7 into y = mx + b: y = x + 7.
✓ Correct!
Not quite. The answer is
💡 Put m = 1 and b = 7 into y = mx + b: y = x + 7.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 3 and has y-intercept 1. Write its equation 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
💡 Put m = 1 and b = 4 into y = mx + b: y = x + 4.
✓ Correct!
Not quite. The answer is
💡 Put m = 1 and b = 4 into y = mx + b: y = x + 4.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 6 and has y-intercept 9. Write its equation 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
💡 Put m = 6 and b = 2 into y = mx + b: y = 6x + 2.
✓ Correct!
Not quite. The answer is
💡 Put m = 6 and b = 2 into y = mx + b: y = 6x + 2.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 2 and has y-intercept 2. Write its equation 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
💡 Put m = 6 and b = 6 into y = mx + b: y = 6x + 6.
✓ Correct!
Not quite. The answer is
💡 Put m = 6 and b = 6 into y = mx + b: y = 6x + 6.
💡 How to solve: Writing y = mx + b from Slope & y-Intercept
In y = mx + b, m is the slope and b is the y-intercept. Put the slope in place of m and the y-intercept in place of b. If the line crosses the y-axis at the point (0, b), the y-intercept is b. Tidy up: write x instead of 1x, -x instead of -1x, and leave out + 0.
Try a similar one
A line has slope 6 and has y-intercept 7. Write its equation 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 Slope & y-Intercept — 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.