Question

find the equation that is parallel to the line y=x+9 and passes through the point (-6,7).Write the equation in slope intercept form

Answer 1

Answer: -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 (-6,7)

y - y1 = m(x - x1)

y - (7) = 1 (x - (-6)) (Plug in values)

y -7 = 1(x +-6) (Distribute negatives)

y -7 = -1x -6 (Distribute 1 to both terms in the parentheses)

+ 6 +6 (add 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 = 7 - 1 (Plug in values)

7 = 7