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