Question

Plot the x- and y-intercepts to graph the equation. y=−12x−3

Answer 1

x-intercept: (1/4) ,0
y-intercept: (0, -3)

Answer 2

Keywords

x-intercept, y-intercept, linear equation, graphing tool

we know that

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

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

In this problem we have

`y=-12x-3`

Step 1

Find the x-intercept

For
`y=0`

find the value of x

`0=-12x-3`

`12x=-3`

`x=-0.25`

The x-intercept is the point
`(-0.25,0)`

Step 2

Find the y-intercept

For
`x=0`

find the value of y

`y=-12*0-3`

`y=-3`

The y-intercept is the point
`(0,-3)`

Step 3

With the point
`(-0.25,0)` and the point
`(0,-3)`

Plot the linear equation

Using a graphing tool

see the attached figure

therefore

the answer in the attached figure