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Writing Linear Equations — Easy Worksheet 1
Grade 8 · MathSheets Name: ____________________ Date: __________
Write the equation of each line in slope-intercept form, y = mx + b.
How to solve
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Example
A line has slope -2 and y-intercept 0. Write its equation.
Answer: y = -2x
Not quite. The answer is
💡 In y = mx + b, m is the slope and b is the y-intercept. Put in m = 1 and b = 5: y = x + 5.
✓ Correct!
Not quite. The answer is
💡 In y = mx + b, m is the slope and b is the y-intercept. Put in m = 1 and b = 5: y = x + 5.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope 1 and y-intercept 3. Write its equation.
✓ 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 the point (1, −5) the line goes 1 right and 3 down, so the slope is m = −3 ÷ 1 = −3. The equation is y = −3x − 2.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, −2), so b = −2. From (0, −2) to the point (1, −5) the line goes 1 right and 3 down, so the slope is m = −3 ÷ 1 = −3. The equation is y = −3x − 2.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope 2 and y-intercept -5. Write its equation.
✓ 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
💡 Start with y = mx + b and put in the slope: y = −2x + b. Put in the point (−2, 3): 3 = −2(−2) + b, so 3 = 4 + b and b = 3 − 4 = −1. The equation is y = −2x − 1.
✓ Correct!
Not quite. The answer is
💡 Start with y = mx + b and put in the slope: y = −2x + b. Put in the point (−2, 3): 3 = −2(−2) + b, so 3 = 4 + b and b = 3 − 4 = −1. The equation is y = −2x − 1.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope 1 and y-intercept 2. Write its equation.
✓ 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 the point (1, 5) the line goes 1 right and 3 up, so the slope is m = 3 ÷ 1 = 3. The equation is y = 3x + 2.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, 2), so b = 2. From (0, 2) to the point (1, 5) the line goes 1 right and 3 up, so the slope is m = 3 ÷ 1 = 3. The equation is y = 3x + 2.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope 1 and y-intercept -2. Write its equation.
✓ 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
💡 In y = mx + b, m is the slope and b is the y-intercept. Put in m = −1 and b = −9: y = −x − 9.
✓ Correct!
Not quite. The answer is
💡 In y = mx + b, m is the slope and b is the y-intercept. Put in m = −1 and b = −9: y = −x − 9.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope -2 and y-intercept 0. Write its equation.
✓ 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, 5), so b = 5. From (0, 5) to the point (3, 2) the line goes 3 right and 3 down, so the slope is m = −3 ÷ 3 = −1. The equation is y = −x + 5.
✓ Correct!
Not quite. The answer is
💡 The line crosses the y-axis at (0, 5), so b = 5. From (0, 5) to the point (3, 2) the line goes 3 right and 3 down, so the slope is m = −3 ÷ 3 = −1. The equation is y = −x + 5.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope 2 and y-intercept 1. Write its equation.
✓ 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
💡 Start with y = mx + b and put in the slope: y = −2x + b. Put in the point (2, −12): −12 = −2(2) + b, so −12 = −4 + b and b = −12 − (−4) = −8. The equation is y = −2x − 8.
✓ Correct!
Not quite. The answer is
💡 Start with y = mx + b and put in the slope: y = −2x + b. Put in the point (2, −12): −12 = −2(2) + b, so −12 = −4 + b and b = −12 − (−4) = −8. The equation is y = −2x − 8.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope -1 and y-intercept -1. Write its equation.
✓ 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 the point (2, 7) the line goes 2 right and 6 up, so the slope is m = 6 ÷ 2 = 3. The equation is 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 the point (2, 7) the line goes 2 right and 6 up, so the slope is m = 6 ÷ 2 = 3. The equation is y = 3x + 1.
💡 How to solve: Writing Linear Equations
Find the slope m = change in ychange in x. Then find b, the y-intercept: substitute one point into y = mx + b and solve for b (or read where the line crosses the y-axis). Write the equation as y = mx + b.
Try a similar one
A line has slope 2 and y-intercept -2. Write its equation.
✓ 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 Linear Equations — Easy Worksheet 1
Write the equation of each line in slope-intercept form, y = mx + b.