Answer:
y = 2x + 1
Explanation:
First find the slope
rise/run
m = -5-3 / -3 -1
m = -8/-4
m = 2
Now that we have the slope (m), we can find the y-intercept (b) by substituting the coordinates of one of the points into the equation y = mx + b.
Using the point (-3,-5), we have:
-5 = -3(2) + b
-5 = -6 + b
b = 1
∴
the equation of the line that contains the points (1,3) and (-3,-5) is y = 2x + 1.