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

Question

asked Jun 4, 2019 119k views

2 Answers

Alexey Vassiliev · Answer 1 · 2019-06-09T17:52:28+0000

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
: