Answer:
Slope is -2. The equation is y = -2 + 1
Explanation:
We are told this is a linear function. We can take any two points to calculate the Rise/Run, or slope, of the line. I'll use (-2,5) and (2,-3).
The Rise is = (-3 - 5) = -8
The Run is = (2 - (-2)) = 4
The slope is the Rise/Run: (-8/4) = -2
A slope of -2 tells us that y will decrese by 2 for every 1 increase in x.
The equation of the line will be y = -2x + b, where b is the y-intercept (the value of y when x = 0).
Enter any given point into the equation and solve for b. I'll use (0,1):
y = -2x + b
1 = -2(0) + b for (0,1)
b = 1
The equation is thus: y = -2x + 1