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=(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=(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=(3)/(4)x-3`
`(3)/(4)x=3`
`3x=3\cdot4`
`x=(3)/(3)\cdot4`
`x=4`

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

Answer: Graph A