Question

Passing through (-8,-7) and Parallel to the line whose equation is y= -3x+2. Write an equation for the line in point slope form.

Answer 1

y = -3x - 31

Explanation:

We know that the slope intercept formula of a line is;

y = mx + c

From the given equation of y = -3x + 2, we can say that the slope is -3.

Now, parallel lines have the same slope.

Thus, for passing through (-8,-7), the slope will be -3.

So, equation is;

(y - y1) = m(x - x1)

Thus;

(y - (-7)) = -3(x - (-8))

y + 7 = -3(x + 8)

y = -3x - 24 - 7

y = -3x - 31