Question

10. What is the slope of a line that passes through the point (-3,0) and hasa y-intercept of 12?A. 3.5B. 5C. -3.5D. -5E. 4

Answer 1

Step-by-step explanation

In this problem, we have a line:

• that passes through the point (-3, 0),

,

• and has y-intercept b = 12.

The general slope-intercept equation of a line is:

`y=m\cdot x+b.`

Where m is the slope, and b is the y-intercept.

(1) Replacing the data from above in the general equation of the line, we have:

`0=m\cdot(-3)+12.`

(2) Solving the last equation for m, we get:

`\begin{gathered} 0=-3m+12, \\ 3m=12, \\ m=(12)/(3)=4. \end{gathered}`

So the slope of the line is m = 4.

Answer

E. 4