Answer: y = -(2/3)x + 0.5
Explanation:
The form of a straight line in slope-intercept form is y=mx+b. m is the slope an b is the y intercept.
We can calculate m, the slope, from the two points given. From that we can calculate b by using one of the two points in the equation.
Slope (m) is the change in y divided by the change in x. For these two points we can find the x change (3 -(-1)) = 4 (the distance between -1 and 3). The change in y is (-4-2) = -6. The slope is therefore (-6/4), or -3/2.
y = (-3/2)x + b
No enter either point for x and y and calculate b.
2 = -(3/2)*(-1) + b
2 = +(3/2) + b
b = 0.5
y = -(2/3)x + 0.5