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

(show work and explain)

Mathisfornerds  Jan 30, 2018

Best Answer 

 #1
avatar+113 
+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
avatar+113 
+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

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