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

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Answer 1 · 2018-03-24T20:46:21

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

Parallel lines always have the same slope

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

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

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

$3 = - 5 \cdot 4 + b$ $3=-5*4+b$

$3 = - 20 + b$ $3=-20+b$

$b = 23$ $b=23$

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

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