Question

Write the slope-intercept form of the equation for

each graph described.
Line passing through (-2, 7) and parallel to the line
whose equation is y = 5x + 1.

Answer 1

y = 5x + 17

Explanation:

If the line is parallel to y = 5x + 1, then they will have the same gradient.

Therefore, equation of new line: y = 5x + c (where c is some constant)

If the line passes through (-2, 7), then substitute x = -2 and y = 7 into y = 5x + c to find c:

7 = (5 x -2) + c

⇒ 7 = -10 + c

⇒ 17 = c

So equation of line: y = 5x + 17