Question

Select the description that is true of the equation 3x + y =9

x-intercept equals
x-intercept equals
y-intercept equals 3
y-intercept equals 9

Answer 1

x-intercept equals 3

y-intercept equals 9

Explanation:

we have

`3x+y=9`

step 1

Find the y-intercept

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

so

For x=0

substitute in the equation and solve for y

`3(0)+y=9`

`y=9`

The y-intercept is the point (0,9)

step 2

Find the x-intercept

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

so

For y=0

substitute in the equation and solve for x

`3x+0=9`

`x=3`

The x-intercept is the point (3,0)

therefore

x-intercept equals 3

y-intercept equals 9