Question

PLEASE HELP QUICKLY!!!! What is the equation of the line with a slope of -3/4 that goes through the point (−6, 3)?

Answer 1

Answer:

$y=-\frac{3}{4}x-\frac{3}{2}$

or

$y=-0.75x-1.5$

Step-by-step explanation:

step 1

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{3}{4} \\point\ (-6,3)$

substitute

$y-3=-\frac{3}{4}(x+6)$

step 2

Convert to slope intercept form

$y=mx+b$

we have

$y-3=-\frac{3}{4}(x+6)$

Isolate the variable y

$y-3=-\frac{3}{4}x-\frac{9}{2}$

$y=-\frac{3}{4}x-\frac{9}{2}+3$

$y=-\frac{3}{4}x-\frac{3}{2}$