Find an equation of the line passing through the points
(–3, –5) and (6, –2).

y=1/3x-4

Step-by-step explanation:

1. Use the slope formula to find the slope of the two coordinates.

y2-y1/x2-x1

-2--5/6--3

3/9 = 1/3

The slope is 1/3

2. Choose one of the coordinates and plug them and the slope into the point-slope formula

y-y1=m(x-x1)

y+2=1/3(x-6)

3. Distribute and simplify.

y+2=1/3x-2

y=1/3x-4

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x