Question

Question
Which is the graph of y= 3/4x-3

Answer 1

the answer to the question is c

Answer 2

`\huge\boxed{\sf Graph\ C}`

Explanation:

Given equation is:

`\sf y = (3)/(4) x -3`

So, Slope = 3/4 and y-intercept = -3

Let's find the slope and y-intercept for each graph:

`\rule[225]{225}{2}`

Graph A:

Let's pick two coordinates to find the slope:

Coordinates are (5,1) and (0,-3)

`\sf Slope = (y2-y1)/(x2-x1) \\\\Slope = (-3-1)/(0-5) \\\\Slope = (-4)/(-5) \\\\Slope = (4)/(5)`

So, This is not the required Graph.

`\rule[225]{225}{2}`

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)

`\rule[225]{225}{2}`

Graph C:

The left graph is graph C. So, This is the correct answer!

`\rule[225]{225}{2}`

Hope this helped!

~AH1807