It passes through

Question

(-7,-5) and (-5,4)

Answer 1

I assume your statement should read:

"Find the equation of the line passing through the points (-7, -5) and (-5, 4)."

 

Find the slope:  m = (change in y)/(change in x) = (4-(-5))/(-5-(-7)) = 9/2

 

Now use the point slope formula:  y-y₁ = m(x-x₁) using one of the given points

as (x₁, y₁) to find the equation of the line. Let's use (-5, 4):

 

y - 4 = (9/2)(x-(-5))

y - 4 = (9/2)(x+5)

Multiply through by 2 to clear the fraction.

2y-8 = 9(x+5)

2y-8 = 9x + 45

-9x + 2y = 45+8

-9x + 2y = 53

 

This is the equation of your line in standard format.