Answer: y = (1/2)x + 1/2
Explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from any two points. I'll pick (-3,-1) and (3,2).
Slope is Rise/Run, where Rise is the change in y and Run is the change in x. From the two given points, starting at (-3,-1) and going to (3,3):
Rise = (2 - (-1)) = +3
Run = (3-(-3)) = 6
Slope is Rise/Run, or 3/6 = 1/2
The equation becomes y = (1/2)x + b We can find b by entering a point and solving for b. I'll use (-1,0):
y = (1/2)x + b
0 = (1/2)(-1) + b
b = 1/2
The equatuion is y = (1/2)x + 1/2