This document provides steps for writing equations of lines from various information. It includes finding the slope and y-intercept from an equation, using two points to find the slope and solve for the y-intercept, and writing the equation from a table by choosing two points to calculate the slope. Hints are provided for each problem to guide the reader through the process.

1. WRITE
EQUATIONS OF
A LINE

2. Review
1. What is the slope and y intercept of y=3x – 4
2. What is the slope and y intercept of 3x +2y=8
3. What is the slope of a line containing (4, 7) (8, 10)
*Hint m =
𝑦2
−𝑦1
𝑥2
−𝑥1

3. Review
1. What is the slope and y intercept of y=3x – 4
2. What is the slope and y intercept of 3x +2y=8
3. What is the slope of a line containing (4, 7) (8, 10)
*Hint m =
𝑦2
−𝑦1
𝑥2
−𝑥1

4. Write the equation of a line with slope 8 and y intercept of 5
Write the equation of a line with slope 4 and y intercept of -6
Write the equation of a line with slope -1/2 and y intercept of 4

5. Write the equation of a line with slope 8 and y intercept of 5
Write the equation of a line with slope 4 and y intercept of -6
Write the equation of a line with slope -1/2 and y intercept of 4

6. Steps for writing an equation of a line from two points. (2, 6) ,(4, 10)
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b

7. Steps for writing an equation of a line from two points. (2, 6) ,(4, 10)
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b

8. Steps for writing an equation of a line from two points. (1, 7) ,(4, 16)
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b

9. Steps for writing an equation of a line from two points. (1, 7) ,(4, 16)
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b

10. Steps for writing an equation of a line from a table
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b
X Y
0 3
1 1
2 -1
Hint : choose 2
points to use for
step 1

11. Steps for writing an equation of a line from a table
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b
X Y
0 3
1 1
2 -1

12. Steps for writing an equation of a line from a table
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b
X Y
1 1
2 4
3 7
Hint : choose 2
points to use for
step 1

13. Steps for writing an equation of a line from a table
1. Calculate slope using m =
𝑦2−𝑦1
𝑥2−𝑥1
2. Use slope and one point to substitute into y=mx +b
3. Solve for b
4. Write the equation as y=mx + b
X Y
1 1
2 4
3 7
Hint : choose 2
points to use for
step 1

14. IXL D.8 Write the equation of a linear function PBE
KHAN ACADEMY
Slope-intercept equation from two points