Question

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

Answer 1

Answer: $\frac{7}{4}$

Step-by-step 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]

$y=\frac{7x-4}{4}$                       [*Remember, you are dividing both 7x and -4 by 4]

$y=\frac{7}{4} x-1$

Therefore, the slope is $\frac{7}{4}$.

Answer 2

Answer: The slope is  7/4 as well

Step-by-step 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.