Question

Which graph represents the linear function y = x 3/4– 4?

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

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

This is a linear equation (the graph is a line)

To identify the graph find out the intercepts

Find out the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=\frac{3}{4}(0)-4=-4$

The y-intercept is the point (0,-4)

Find out the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

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

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

$x=16/3=5.33$

The x-intercept is the point (5.33,0)

therefore

The graph in the attached figure