Question

( frac{5}{7}x - frac{3}{4}y = 7 )

I need to find the x and y intercepts.
a. x-intercept: _, y-intercept: ___
b. x-intercept: _, y-intercept: ___
c. x-intercept: _, y-intercept: ___
d. x-intercept: _, y-intercept: ___

Answer 1

The x-intercept of the equation (5/7x - 3/4y = 7) is 9.8, and the y-intercept is approximately 9.333.

Step-by-step explanation:

To find the x-intercept of the equation ( frac{5}{7} x - frac{3}{4} y = 7 ), you set y to 0 and solve for x. To find the y-intercept, you set x to 0 and solve for y.

To find the x-intercept:

5/7 * x - 3/4 * 0 = 7

5/7 * x = 7

x = 7 / (5/7)

x = 7 * 7/5

x = 49/5

x = 9.8

To find the y-intercept:

5/7 * 0 - 3/4 * y = 7

-3/4 * y = 7

y = -7 / (-3/4)

y = -7 * -4/3

y = 28/3

y = 9.333...

Therefore, the x-intercept is 9.8, and the y-intercept is approximately 9.333.