Problema Solution
Write an equation of a line given that the line;has slope −12 and passes through (−15, −2) (in slope-intercept form)
Answer provided by our tutors
the slope-intercept form of a straight line is
y = mx + b, where 'm' is the slope and 'b' gives the y-intercept
we know the slope is m = -12 so the equation is
y = -12x + b
we need to find b.
since the lines passes through (-15, -2) this means for x = -15, y = -2 or
-2 = - 12*(-15) + b
-2 = 180 + b
180 + b = -2
b = -2 - 180
b = -182
thus the line equation is
y = -12x - 182.