Question

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

Answer 1

Graph A

Explanation:

The formula is in the form y=mx+c, where m is the gradient and m is the y-intercept, this means that the y-intercept is (0,-3) which rules out Graph B.

To find the gradient we use
`(rise)/(run)`, this means that the vertical value has to be 3 and the horizontal distance 4 and this rules out Graph C as its gradient is 3/2. That means that graph A matches the equation the best.

Answer 2

Graph A

Explanation:

The y-intercept is -3, which is the y-value when the graph hits the y-axis.

Graph A and B both hit the y-intercept of -3.

The slope is 3/4, which means the line rises 3 units as it runs 4.

This time, only Graph A has the correct slope.

The correct answer is
`\boxed{\text{Graph A}}`

-Chetan K