Question

How do you write the equation of a line with m = -3/2, passes through (4, -7) in standard from?

Answer 1

`3x+2y=-26`

Explanation:

based on the given we're going to use point-slope form

`y-y_1=m(x-x_1)`

`y--7=-3/2(x-4)`

`y+7=-3/2(x-4)`

`2(y+7)=-3(x-4)`

`2y+14=-3x-12`

`3x+2y=-12-14`

`3x+2y=-26` `rarr` standard form

`3x+2y+26=0 rarr` general form