Question

Find the graph of y=-3/4X-2

Answer 1

To graph the line $y=- \frac{3}{4}x-2$ we are going to take advantage of the fact that its y-intercept is -2 when x=0, so our first point is (0,-2). To find our second point, we are going to find the x-intercept; to do it, we are going to set y=0 and solve for x:
$y=- \frac{3}{4}x-2$
$0=- \frac{3}{4}x-2$
$2=- \frac{3}{4}x$
$x= \frac{2}{- \frac{3}{4} }$
$x=- \frac{8}{3}$
Now that we have our second point $(0,- \frac{8}{3} )$, we just need to join our two points with a straight line.

We can conclude that the graph of y=-3/4X-2 is: