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3 years ago

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

Mathematics

2 answers:

morpeh [17]3 years ago

6 0

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 $\frac{7}{4}$ .

Sergeu [11.5K]3 years ago

3 0

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.

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