Question

Find the slope of the line that is parallel and perpendicular to the following equation.
2x - y = -2

Answer 1

Answer:

slope in parallel = 2

slope in perpendicular = $\sf \bold{-\frac{1}{2} }$

y intercept = (0, 2)

Rewrite in slope intercept form:

slope intercept form: y = mx + b  || where "m" is slope and "b" is y-intercept

• 2x - y = -2

• -y = -2 - 2x

• y = 2x + 2         ** identify m and b _ _ _ m = 2, b = 2 **

y-intercept:  2  --- as "b" is [+2] then x will be always 0 at y-intercept

• y-intercept coordinates: (0, 2)

slope is same when parallel

• slope in parallel = 2   --- as "m" is [+2]

perpendicular slope is negative reciprocal of the parallel slope

• m1 is the parallel slope and m2 is the perpendicular slope

• m1 * m2 = -1

• 2 * m2 = -1

• m2 = -1/2   --- this is the slope of perpendicular line

Answer 2

Convert to slope intercept form

• 2x-y=-2
• y=2x+2

Slope:-

• m=2

Parallel lines have equal slope

Slope of the perpendicular line=-1/2