Question

Write the equation of a line parallel to the line y = 5x + 2 that passes through the point (2,1).

Answer 1

Answer:

$\large\boxed{y=5x-9}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Parallel lines have the same slope. Therefore if given line is

$y=5x+2$

then the slope of our line is $m=5$.

We have the equation:

$y=5x+b$

The line passes through (2, 1). Put the coordinsted pf the point to the equation:

$1=5(2)+b$

$1=10+b$           subtract 10 from both sides

$-9=b\to b=-9$

Finally:

$y=5x-9$