To graph the line [tex]y=- \frac{3}{4}x-2 [/tex] 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:
[tex]y=- \frac{3}{4}x-2 [/tex]
[tex]0=- \frac{3}{4}x-2[/tex]
[tex]2=- \frac{3}{4}x[/tex]
[tex]x= \frac{2}{- \frac{3}{4} } [/tex]
[tex]x=- \frac{8}{3} [/tex]
Now that we have our second point [tex](0,- \frac{8}{3} )[/tex], we just need to join our two points with a straight line.
We can conclude that the graph of y=-3/4X-2 is:
