Question

A line passes through the point (8,-3)and has a slope of 3/4

Answer 1

`y=(3)/(4)x-9`

Explanation:

We are using the general equation of a straight line, which is

y=mx+b, where y&x are the coordinates, m is the slope and b is the y intercept. We are trying to solve for b, so we can plug in these values that we know into the formula in order to find b:

`-3=(3)/(4)(8)+b\\-3=6+b\\-3-6=b\\b=-9\\\\y=(3)/(4)x-9`