Question

Identify an equation in slope-intercept form for the line perpendicular to y = –1/2x + 11 that passes through (4, –8).

Answer 1

y = 2x - 16

Explanation:

perpendicular lines = have negative-reciprocal slope

slope: -1/2 => negative-reciprocal => 2 ↓ slope

substitute (4, -8) and the slope 2 into the slope-intercept form(y = mx + b) to find b:

=> -8 = 2(4) + b => b = -16

plug in the slope 2 and b = -16 to the slope-intercept form:

y = 2x - 16