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

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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

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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
+112
+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