Write the point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
The point-slope form of a line is given by the equation:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) are the coordinates of a point on the line.
Since the line we are trying to find is parallel to a line with a slope of -8, the slope of our line will also be -8.
We are given a point on the line as (-8, 2), so we can substitute these values into the point-slope form equation to get:
y - 2 = -8(x - (-8))
Simplifying the equation:
y - 2 = -8(x + 8)
Now, we distribute the -8 to obtain:
y - 2 = -8x - 64
Finally, we can rearrange the equation to put it in slope-intercept form (y = mx + b) to get our final answer:
y = -8x - 62