Question

Question 6 Which is the graph of y=3/4*x-3 ? Graph B Graph A Graph C Уt 1 1 X

Answer 1

Function:

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

To know which graph represents our function, we can see that all the graphs have different y and x-intercepts. Meaning that we can calculate these parameters and see which graph is.

• Calculating y-intercept: x = 0

$y=\frac{3}{4}\cdot0-3$$y=-3$

The y-intercept happens at (0, -3).

Based on this, we can see that Graph B is not an option. However, Graph A and C are still options. To evaluate which is the correct one we have to calculate the x-intercept.

2. Calculating the x-intercept: y = 0

$0=\frac{3}{4}x-3$$\frac{3}{4}x=3$$3x=3\cdot4$$x=\frac{3}{3}\cdot4$$x=4$

Then, the x-intercept is (4, 0).

Answer: Graph A