Determine if 5y+3x=1 is parallel, perpendicular to neither to the line y+10x=−3

HypeMyday3m

HypeMyday3m

Answered question

2022-09-20

Determine if 5y+3x=1 is parallel, perpendicular to neither to the line y+10x=−3

Answer & Explanation

Zachary Washington

Zachary Washington

Beginner2022-09-21Added 5 answers

Let us rewrite them in Slope-Intercept Form, which essentially means that we solve for y.
Line 1: 5 y + 3 x = 1
by subtracting 3x,
5 y = - 3 x + 1
by dividing by 5,
y = - 3 5 x + 1 5
So, the slope is m 1 = - 3 5
Line 2: y + 10 x = - 3
by subtracting 10x,
y = - 10 x - 3
So, the slope is m 2 = - 10 .
Since m 1 m 2 , they are not parallel.
Since m 1 m 2 - 1 , they are not perpendicular.
Hence, they are neither.

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