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Elenna [48]
3 years ago
8

For what value of a are the lines of 6y=-2x+4 and 2y=ax-5 parallel? perpendicular?

Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Hey there!!

Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.

The y-intercept form:

<em>y = mx + b </em>

<u>In this equation, 'm' is considered to be the slope. </u>

The equation we have is 6y = -2x + 4

First, let's divide all the sides with 6 to isolate the value of 'y'.

... 6y = -2x + 4

... y = -1/3x + 2/3

<u><em>The slope is -1/3... </em></u>

<u><em>... hence the slope in the other equation should be -1/3. </em></u>

Equation we got...

... 2y = ax - 5

Let's divide by 2 on both sides...

... y = ax/2 - 5

The slope in this a/2

<u><em>Hence, ... </em></u>

<u><em>... a/2 = -1/3 </em></u>

<u><em>... 3a = -2 </em></u>

<u><em>... a = -2/3 </em></u>

<h2><u><em>Hence, the value of a is -2/3. </em></u></h2><h3><u><em>Hope my answer helps!</em></u></h3>
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