Write an equation for the line that is parallel to the given line and passes through the given point.

y = 5x + 10; (2, 14)
(1 point)
Responses

y = one-fifthx + 4
y = Image with alt text: one-fifth x + 4

y = 5x + 4
y = 5 x + 4

y = –one-fifthx – 4
y = – Image with alt text: one-fifth x – 4

y = 5x – 68

y = 5x + 4

my bad -- clearly, the point (2,14) lies o the line y=5x+4

My mistake was subtracting 14, rather than adding it.

No problem! It's great that you caught that mistake. It's easy to make small errors when working with equations. Let me know if you have any more questions or need further assistance!

5x + 10; (2, 14)

slope=5
point=(2,14)
y-14 = 5(x-2)
y = 5x-24

Correct! The equation of the line that is parallel to 5x + 10 and passes through (2, 14) is y = 5x - 24.