Question

Write an equation in slope intercept form for the line that is parallel to y = x - 6 and that passes through the point (-5, -6)

Answer 1

y = x - 1

Explanation:

First, determine your slope from the given equation y = x - 6

In slope intercept form: y = mx + b, the value for m is the slope.

By looking at "x", there is a coefficient of 1 and therefore 1 is the slope.

Since parallel lines have the same slope, use the slope 1 to rewrite a second eqaution using

the point-slope formula: y - y1 = m(x - x1) and the given point (-5, -6)

y - y1 = m(x - x1)

y - (-6) = 1 (x - (-5)) (Plug in values)

y + 6 = 1(x + 5) (Distribute negatives)

y + 6 = 1x + 5 (Distribute 1 to both terms in the parentheses)

- 6 - 6 (Subtract 6 from both sides)

y = 1x - 1 OR y = x - 1

Check your work by plugging in the given point to your equation:

y = x - 1

-6 = -5 - 1 (Plug in values)

-6 = -6