What is the equation of this line is standard form (-4,-1) and (1/2,3) a: 8x-9y=-23 b: 9x-8y=23 c: 8x-9y=23 d: 8x-7y=-25

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