Question

Plot the x- and y-intercepts to graph the equation. y=1/3x−1.

Answer 1

To find the x-intercept, substitute in y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept= (3,0)
y-intercept= (0,-1)

Answer 2

The graph of given equation is shown below.

x-intercept is 3 and y-intercept is -1.

Explanation:

The given function is

`f(x)=(1)/(3)x-1`

We need to draw the graph of given equation.

At x=0,

`f(0)=(1)/(3)(0)-1=-1`

So, y-intercept is -1.

Equate f(x)=0 to find x-intercept.

`(1)/(3)x-1=0`

`(1)/(3)x=1`

Multiply both sides by 3.

`x=3`

So, x-intercept of the line is 3.

Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.