Question

Given the equation y = 4x – 5, find the equation of the

parallel line that goes through the point (-1 , 2).

Answer 1

y = 4x + 6

Explanation:

The equation: y = 4x - 5

m = 4

Since the parallel line has the same slope as the given line, its slope will also be 4.

Now, using the point-slope form of a line y - y1 = m(x - x1), we can substitute the slope (m = 4) and the coordinates of the given point (-1, 2) into the equation:

y - 2 = 4(x - (-1))

y - 2 = 4(x + 1)

y - 2 = 4x + 4

y = 4x + 6

So, the answer is y = 4x + 6