Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)
1. (10,-3) (5,-2)
2. (6,2) (7,5)
3. (4,4) (-7,4)

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

substitute

Find the value of b

we have

substitute in the equation  and solve for b

substitute

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

substitute

Find the value of b

we have

substitute in the equation  and solve for b

substitute

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

substitute

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is