Question

6. If the slope of a line is 6 and the y-intercept is -12, what is the x-intercept?a. -2b. -4C.d. 4e. 2

Answer 1

The correct answer is option e. 2

Step-by-step explanation:

We are given the slope and the y-intercept of a line. With this, we can find the equation of the line in slope-intercept form.

The slope -intercept form of a line is:

`y=mx+b`

Where:

m = slope

b = y-intercept

Then, in this case:

m = 5

b = -12

The equation is:

`y=6x-12`

The x-intercept is the value of x when y = 0. Thus:

`0=6x-12`

And solve for x:

`\begin{gathered} 0=6x-12 \\ 12=6x \\ . \\ x=(12)/(6) \\ . \\ x=2 \end{gathered}`