Question

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

through the given point.
y = x-10;(-6, -29)

Answer 1

y = x - 23

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

The answer to your question is y = x - 23

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