Write an equation for a line parallel to y = − 2 x − 5 and passing through the point ( 1 , − 1 )

Answer 1

A parallel line has the same slope has the line of interest. What is the slope in this case? It's the value right before the x-term, which is -2.

We know the formula for finding the equation of a function is y - y_1 = m(x-x_1). In this case, we are given m = -2 (the slope, as discussed above), y_1 = -1, and x_1 = 1. Plugging in and doing some algebra:

y - y_1 = m(x-x_1)

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

y + 1 = -2x + 2

y = -2x + 1