Line a passes through the points (-4,-11) and (2,13) line b passes through the points (3,-1) and (-5,31) where does line a intersect line b?

First, you need to calculate the equations of line A and line B

(1) Line A:

First let's calculate the gradient:
m = (y2-y1)/(x2-x1)
= (13-(-11))/(2-(-4))
= 24/6
= 4

Now we can use one of the points, let's take (2,13), and the gradient and substitute these into the equation:
y - y1 = m(x - x1)
y - 13 = 4(x - 2)
y = 4x - 8 + 13
y = 4x + 5

(2) Line B

m = (31-(-1))/(-5-3)
= 32/-8
= -4

Taking the point (3,-1):
y - (-1) = -4(x - 3)
y = -4x + 12 - 1
y = -4x + 11

Now we can equate the two equations to see where they intersect:

4x + 5 = -4x + 11
8x = 6
x = 3/4

Now substitute the value of x into one of the equations:

If x = 3/4:
y = -4(3/4) + 11
= -3 + 11
= 8

Therefor Line A intersects Line B at the point (3/4, 8)

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o

Hmmm i had this before , give me a sec