the line parallel to y=1/4x + 3 that passes though the point (-8,-7)

(show work and explain)

Mathisfornerds
Jan 30, 2018

#1**+2 **

The line parallel to another line has the same slope.

Therefore, our line would be \(y=\frac{1}{4}+b\), b being the y-intercept.

We also know that the line passes through point (-8,-7). We can substitute the points into the line equation to solve b.

We get \(-7=\frac{1}{4}\times-8+b\Rightarrow-7=-2+b\Rightarrow b=-5\)

The line is \(y=\frac{1}{4}x-5\)

Check it by using desmos.com

MIRB14
Jan 30, 2018

#1**+2 **

Best Answer

The line parallel to another line has the same slope.

Therefore, our line would be \(y=\frac{1}{4}+b\), b being the y-intercept.

We also know that the line passes through point (-8,-7). We can substitute the points into the line equation to solve b.

We get \(-7=\frac{1}{4}\times-8+b\Rightarrow-7=-2+b\Rightarrow b=-5\)

The line is \(y=\frac{1}{4}x-5\)

Check it by using desmos.com

MIRB14
Jan 30, 2018