Question

Consider the graph.

What is the equation of the line in point-slope form? Use the red point in your equation.

A. y + 6 = -2(x - 9)

B. y - 6 = -2(x + 9)

C. y + 6 = -1/2(x - 9)

D. y - 6 = -1/2(x + 9)

Answer 1

The linear equation in the graph is y - 6 = -2*(x + 9), option B.

What is the equation shown in the graph?

First we can try to find the slope of the graph.

Notice that for each unit that we move to the right, the graph moves two units down, thus, the slope of the line is -2.

Now remember that for a line with slope a, that passes through a point (h, k), the equation is.

y - k = a*(x - h)

Here we have the point (-9, 6), and the slope is -2, then the equation is:

y - 6 = -2*(x + 9)