Question

find the slope x intercept and y intercept from the following equations

-3x + 4y - 10 =7x - 2y + 50​

Answer 1

Answer:

Y=10                 X= -6

Step-by-step explanation:

-3X+4Y-10 = 7X -2Y +50

-3Y + 4Y -10 - 7X +2Y -50 =0     *AFTER MAKING THE WHOLE EQUATION TO BE EQUAL TO 0; YOU SUBTRACT OR ADD LIKE TERMS

-3X + 4Y -10 -7X + 2Y -50 =0

-10X + 6Y - 60 =0

Y-intercepts, you let x=0

-10(0) + 6y -60 =0

0 +6y -60=0         *YOU TRANSPOSE 60 TO THE OTHER SIDE WHICH WILL CHANGE SIGN AND BE +

6Y = 60          *DIVIDE BOTH SIDES BY 6 AND REMEMBER WHAT YOU DO ON THE LEFT HAND SIDE ,YOU DO IT ON THE RIGHT HAND SIDE

Y = 10          (0;10)

X-intercept ,you let y=0

-10x + 6y -60 =0

-10x + 6(0) -60 =0

-10x - 60 =0        *TRANSPOSE 60 TO BE POSITIVE

-10x = 60         *DIVIDE BY -10 ON BOTH SIDES

x = -6       (-6;0)