Question 71658
Parallel to {{{y=5x-2}}} means it has the same slope
The equation is in the form {{{y = mx + b}}} where m=slope
m=5
The parallel line goes through (2,-1)
Use the point-slope formula
{{{(y - (-1)) / (x - 2) = 5}}}
{{{y + 1 = 5(x - 2)}}}
{{{y + 1 = 5x - 10}}}
{{{y = 5x - 11}}}
The slope is 5, correct. Does it go through (2,-1)?
{{{-1 = 5*2 - 11}}}
{{{-1 = -1}}}
OK