Question

what is the equation of the line that passes through the point -8,1 and has a slope of $- \frac{3}{4}$

Answer 1

$y-1=\frac{3}{4}(x+8)$

or

$y=\frac{3}{4}x+7$

The slope of the line is 3/4 and therefore, all we need to find is the y-intercept.

Using the point (-8, 1) gives

$1=\frac{3}{4}(-8)+b$$1=-6+b$$b=7$

Hence, the equation

$y=\frac{3}{4}x+7$