Answer:
A.

Explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where:
(h,k) is a point through which the line passes.
The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.
Two perpendicular lines with slopes m1 and m2 satisfy the equation:

We'll find the slope m1 of the given line and then solve the above equation for m2:

The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

Now we calculate the second slope:

We use the point-slope form, given the point (6,-7):

Operating the parentheses:

Simplifying:

A.
