How do you find the equation of the line parallel to #y=-5x+3# and passing through #(4,3)#?

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Answer 1 · 2018-03-24T20:46:21

The equation is #y=-5x+23#

Parallel lines always have the same slope

The line parallel to #y=-5x+3# has a slope of -5, same as that line.

So far, the equation is #y=-5x+b#

Let's plug in (4, 3) to find the y-intercept (b)

#3=-5*4+b#

#3=-20+b#

#b=23#

The equation is #y=-5x+23#