Question

What is the slope of the line parallel to the line 4y - 7x = -4?

Answer 1

Answer: The slope is 7/4 as well

Explanation:

First convert the equation into slope intercept form and to determine the slope.

4y - 7x = - 4 Add 7x to both sides

+7x +7x

4y = 7x -4 Now divide both sides by 4

y = 7/4x - 1 In this case the slope is 7/4 and the y-intercept is -1 .

Now notice that the slope of parallel lines have the same slope and different y-intercepts. Meaning that the slope of this line will be same as the slope of the other line.

Answer 2

Answer:
`(7)/(4)`

Explanation:

The slope of the line parallel to the line given will be the same. Parallel lines NEVER tough and cross each other. Therefore, the slope will be the same.

`4y-7x=-4` [add both sides by 7x]

`4y=7x-4` [divide both sides by 4]

`y=(7x-4)/(4)` [*Remember, you are dividing both 7x and -4 by 4]

`y=(7)/(4) x-1`

Therefore, the slope is
`(7)/(4)`.