Question

Write the equation that is parallel to the function given and through the point given: y = 3x+8, point: (5, -2).

A. y = 3x - 17
B. y = 3x - 14
C. y = -3x - 14
D. y = -3x + 14

Answer 1

To find a parallel equation to y = 3x + 8 passing through the point (5, -2), use the same slope as the given equation. The equation parallel to it is y = 3x - 17.

Step-by-step explanation:

To find an equation parallel to y = 3x + 8 and passing through the point (5, -2), we need to use the same slope as the given equation. Since the slope of y = 3x + 8 is 3, the equation parallel to it will also have a slope of 3.

Using the point-slope form of a line, we can substitute the slope and the given point into the equation y - y1 = m(x - x1). Substituting the values, we get y - (-2) = 3(x - 5), which simplifies to y + 2 = 3x - 15. Rearranging the equation, we have y = 3x - 17.