Complete the equation of the line through (-6,-5) and (-4,-4)

Question

Use exact numbers

y=_____

Answer 1

First find slope (m) which is y2 - y1 divided by x2 -x1 ( it doesn't matter which set you use as (x1 , y1) and

(x2 , y2)

i'm going to use the first set as x1 and y1

(-4 - (-5) ) = 1 (top part of the formula)

(-4 - (-6) ) = 2 (bottom part of the formula)

slope = 1/2

now using point slope formula: y - y1 = m( x - x1 ); (m=slope)

y - (-5) = 1/2 ( x - (-6) ) go ahead and distribute the 1/2

y + 5 = 1/2x + 6/2 reduce the fraction

y + 5 = 1/2x + 3 solve for y to get slope intercept form.

y = 1/2x - 2 <-- this is the final answer :)