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

Step-by-step explanation:

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

, where m is the slope of the line {Coefficient of x}

The given equation of a line :

First rewrite the given equation in intercept form , we get

Comparing to the general intercept form , we have , the slope of the line =

Since the slopes of two parallel lines is equal.

Therefore, the  slope of a parallel line to :

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step-by-step explanation:

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b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )