What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y – 4 = –(x – 6) and passes through the point (−2, −2)?


y = –x –

y = –x +

y = x – 1

y = x +

Respuesta :

A line perpendicular to the given line would have an opposite signed reciprocal slope.  Since the slope of the given line is -1, then the perpendicular lines slope is 1.

Find b using y = mx + b or y - mx = b
-2 - 1(-2) = b
0 = b

The answer is y = x + 0 or y = x