Question

Write the equation of line in slope-intercept form. Line parallel to y=−2x+3 that passes through the point (−100,−100)

Answer 1

y = - 2x - 100

Explanation:

Remark

The line we want is a line parallel to y = - 2x + 3

That means it has the same slope as the given line. The given line has a slope of -2

y = -2x + b is what you have so far. Now you have to use the point to get b

y = - 100

x = - 100

Solve for b

-100 = -2(-100) + b

-100 = 200 + b Notice the sign change. Two minus's make a plus. Subtract 200 from both sides.

- 100 - 200 = b

- 300 = b

Answer

y = - 2x - 100

Answer 2

When you want a parallel line through a given point (h, k), you can start with the equation you have and do the following:

• eliminate the constant term
• replace x with (x-h)
• replace y with (y-k)

Here, that looks like

... (y-(-100)) = -2(x-(-100))

... y = -2x -200 -100 . . . . . eliminate parentheses, add -100

... y = -2x -300 . . . . the equation you want.