Answer:
A. 8x - 9y = -23
Step-by-step explanation:
(-4,-1) and (1/2,3)
We write the equation in slope intercept form y=mx+b
then we convert it into standard form
m is the slope and b is the y intercept
(-4,-1) and (1/2,3)
To find out b we plug in (-4,-1) and slope m value in y = mx+b
-1 = (8/9) (-4) + b
Add 32/9 on both sides
Take common denominator 9
So equation y = mx + b becomes
Standard form is Ax + By = C
To get standard form , multiply the whole equation by 9
9y = 8x + 23
Subtract 8x on both sides
-8x + 9y = 23
Multiply the whole equation by -1
8x - 9y = -23