Question

Which ordered pairs in the form (x, y) are solutions to the equation
4x – 5y = 24?

Choose all answers that are correct.

A. (−9, −12)

B. (1, −4)

C. (4, 8)

D. (6, 0)

Answer 1

like this?

Answer 2

Hi,

Since parallel lines have the same slope, first find the slope of 4x + 5y = 24.

4x + 5y = 24
5y = -4x + 24
y = -4/5x + 24/5 In y = mx + b form, the slope is -4/5.

To find the equation of the parallel line through (0,12), 12 is its y intercept or value of "b" in y = mx + b. So, the equation is:

y = -4/5x + 12 or y = -.8x + 12

To find the x intercept of this line, let y = 0 and then solve for x.

y = -4/5x + 12
0 = -4/5x + 12

4/5x = 12
4x = 60
x = 15
So when y = 0, then x = 15 gives the x intercept as (15,0). <==ANSWER

I hope that helps!! :-)

Answer 3

MAYBE THIS ONE IS BETTER

Solution for 4x-5y=24 equation:

Simplifying
4x + -5y = 24

Solving
4x + -5y = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5y' to each side of the equation.
4x + -5y + 5y = 24 + 5y

Combine like terms: -5y + 5y = 0
4x + 0 = 24 + 5y
4x = 24 + 5y

Divide each side by '4'.
x = 6 + 1.25y

Simplifying
x = 6 + 1.25y

Answer 4

in other words it is a, b, d