Question

15 POINTS !!!!!!!!!!!!!! Only answer if 100% sure
When graphed, the x-intercept of a linear function is (-4,0), and the y-intercept is (0,12). Which of the following equations represents the function?
A. y + 12 = 5(x − 4)
B. y − 4 = 4(x + 2)
C. y − 6 = 3(x + 2)
D. y + 6 = 2(x + 7)

Answer 1

Answer:

C. y - 6 = 3(x +2)

Step-by-step explanation:

The answer to the question is given in point-slope form: $y-y_{1}=m(x-x_{1})$  

Where m = slope and ($x_{1},y_{1}$) are a point on the graph.  

The first thing to do would be to find slope.  You can find slope from two points on a graph by using slope formula:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{12-0}{0-(-4)}=\frac{12}{4}=3$

So, the slope=3.  The only equation with a slope of 3 is C. y - 6 = 3(x +2).

You can check your answer by plugging in a given point, for example (0,12) where x = 0 and y = 12:

12 - 6 = 3(0 +2) or 6 = 3(2) or 6 = 6 Since it checks out, we know the equation is the right one.