What is the equation of the line that passes through (5,-2)and(-3,4)

y = -3/4x + 7/4

Step-by-step explanation:

use the boins to find the slope in the equation y2 - y1/x2 - x1

4 - -2/-3 - 5 = 6/-8 or 3/-4

plug that into the equation: y = mx + b

m = slope  b = y-intercept

y = 3/-4x + b now plug in one of the points ex) (5, -2)

(-2) = 3/-4 (5) + b now solve to find the y-intercept: B

b=7/4

now to check your answer plug the other point into the original equation (I have already done this the y-intercept is b=7/4)

here is your final equation y = 3/-4x + 7/4

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

44

step-by-step explanation: