Respuesta :
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.
Answer: [tex]\frac{7}{4}[/tex]
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.
[tex]4y-7x=-4[/tex] [add both sides by 7x]
[tex]4y=7x-4[/tex] [divide both sides by 4]
[tex]y=\frac{7x-4}{4}[/tex] [*Remember, you are dividing both 7x and -4 by 4]
[tex]y=\frac{7}{4} x-1[/tex]
Therefore, the slope is [tex]\frac{7}{4}[/tex].