Question

Write an equation for the line that is parallel to the glven line and that passes

Answer 1

Answer:

y = x - 23

Step-by-step explanation:

All lines parallel to the given line y = x - 10 have the same slope (1), and the same form of equaiton:  y = x + C, where C is a constant.

We know that the new line passes through (-6, -29).  Replacing x with -6, y with -29, we get:

-29 = -6 + C, and thus we find that C = -23.

Thus, the desired equation is

y = x - 23

Answer 2

Answer:

The answer to your question is  y = x - 23

Step-by-step explanation:

Process

1.- Get the slope of the line

If two lines are parallels, it means that they have the same slope.

                                 y = 1x - 10

Slope = m = 1

2.- Get the equation of the line

                               y - y1 = m(x - x1)

                               y + 29 = 1(x + 6)                 Substitution

                               y + 29 = x + 6                     Expanding

                               y = x + 6 - 29                      Simplifying

                               y = x - 23