Question

Find the slope of a line parallel to the line whose equation is 5 x − 2 y = 2 5x−2y=2. Fully simplify your answer.

Answer 1

Answer: A line that is parallel to a given line will have the same slope as the given line.

The slope of a line can be found by rearranging the equation of the line into slope-intercept form (y = mx + b) where m is the slope.

To find the slope of the line 5x - 2y = 2 , we can rearrange the equation to:

5x - 2y = 2

5x = 2y + 2

y = (5/2)x - 1

So the slope of the line is m = 5/2.

So a line parallel to the given line will have a slope of 5/2 as well.

Explanation:

Answer 2

The slope of the line parallel is 5/2

Explanation:

Parallel lines have the same slope as the given slope.

So to find the slope of 5x - 2y = 2, we need to change it into slope intercept form, y=mx+b:

First, subtract 5x to both sides,

5x - 2y = 2

-5x -5x

----------------------

-2y = 2 - 5x

Then divide each side by -2

`(-2y)/(-2) = (2)/(-2) - (5x)/(-2)`

Which will be,

`y = -1 - (-(5)/(2)x)\\` or
`y = (5)/(2)x -1`

So, m = 5/2, making the slope 5/2.

Hope this helps!