Question

(1.) Find the equation of the line passing through the points (-4,-6 ) and (-5,5).

(2.) Find the equation of the line with slope -8 that passes through the point (3, -8).

Answer 1

1) y=-11x-50 2)y=-8x+16

Explanation:

1. y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16