Answer:
[tex]\huge\boxed{\sf Graph\ C}[/tex]
Step-by-step explanation:
Given equation is:
[tex]\sf y = \frac{3}{4} x -3[/tex]
So, Slope = 3/4 and y-intercept = -3
Let's find the slope and y-intercept for each graph:
[tex]\rule[225]{225}{2}[/tex]
Graph A:
Let's pick two coordinates to find the slope:
Coordinates are (5,1) and (0,-3)
[tex]\sf Slope = \frac{y2-y1}{x2-x1} \\\\Slope = \frac{-3-1}{0-5} \\\\Slope = \frac{-4}{-5} \\\\Slope = \frac{4}{5}[/tex]
So, This is not the required Graph.
[tex]\rule[225]{225}{2}[/tex]
Graph B:
Graph B is also not the required graph because it's y-intercept is 3 and not -3 (y-intercept is the point where the value of y is zero)
[tex]\rule[225]{225}{2}[/tex]
Graph C:
The left graph is graph C. So, This is the correct answer!
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
