Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b.
-Through (8, 1); parallel to y = 5x - 8
A)y = -5x - 39
B)y = 5x + 1
C)y = 5x + 41
D)y = 5x - 39

Question

Quizplus · Accepted Answer

Since the line is parallel to y = 5x - 8, it has the same slope of 5. Using the point-slope form of a line, we can write the equation as y - 1 = 5(x - 8). Simplifying this equation gives us y = 5x - 39, which is in the form y = mx + b. Therefore, the answer is D. Since the line is parallel to y = 5x - 8, it has the same slope of 5. Using the point-slope form of a line, we can write the equation:

y - 1 = 5(x - 8)

Simplifying and putting the equation in slope-intercept form yields:

y = 5x - 39

Therefore, the equation of the line is y = 5x - 39, which is choice D.

Write an Equation of the Line