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Find the slope of a parallel line to 5x+2y=6

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2 votes
I’m pretty sure the slope is -5/2
User David Andreoletti
by
8.4k points
3 votes

Answer:
(-5)/(2)

Explanation:

We know that equation in intercept form is given by :-


y=mx+c , where m is the slope of the line {Coefficient of x}

The given equation of a line :
5x+2y=6

First rewrite the given equation in intercept form , we get


2y=6-5x\\\\\Rightarrow\ y=(1)/(2)(6-5x)\\\\\Rightarrow\ y=(-5)/(2)x+(6)/(2)\\\\\Rightarrow\ y=(-5)/(2)x+3

Comparing to the general intercept form , we have , the slope of the line =
(-5)/(2)

Since the slopes of two parallel lines is equal.

Therefore, the slope of a parallel line to
5x+2y=6 :
(-5)/(2)

User Alexey Vassiliev
by
7.6k points

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