Answer: y = -3x/7 + 26/7
Step-by-step explanation: Using the "slope-intercept" format, we can set up 2 equations, using the given points.
The format: y = mx + b, where m is the slope and b is the y-intercept (where x = 0)
To find m and b, we need 2 equations which we get using the 2 given points:
(-3,5):
5 = m(-3) + b (equation 1)
(4,2):
2 = m(4) + b (equation 2)
Subtract #2 from #1 to get:
3 = -7m
m = -3/7
Then, using equation 1, find b:
5 = (-3/7)*(-3) + b
b = 5 - 9/7 = 26/7
The equation is then:
y = -3x/7 + 26/7
