Answered

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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

Sagot :

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:

[tex]y=m\cdot x+b.[/tex]

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:

[tex]0=m\cdot(-3)+12.[/tex]

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

[tex]\begin{gathered} 0=-3m+12, \\ 3m=12, \\ m=\frac{12}{3}=4. \end{gathered}[/tex]

So the slope of the line is m = 4.

Answer

E. 4

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