what is the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6)

Question

what is  the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6)

superdavesuper · Answer

general line equation: y=mx+c where m is the slope n c is the y-intercept
if two lines are parallel, their slopes are the same.
what is the slope of the line given y=-3x+12?

anonymous · Answer

-3x

anonymous · Answer

the slope of the given line is -3

when two lines are parallel their slopes are equal

therefore the slope of the required line id also -3

now we know

slope = m = -3        and point (-1, 6)

use this formula to get the equation

y-y1 = m(x-x1)   here m = -3 ,  x1 = -1 and y1 = 6

substitute all these values in the formula and get your answer