Answer:
y = 10x/3 - 2/3
Explanation:
First, find the slope using the slope formula:
m=(y2-y1)/(x2-x1) ==> Slope is the change in y over the change in x: (Δy/Δx)
(x1, y1), (x2, y2) ==> (x1=2, y1=6), (x2=-1, y2=-4) <== (2, 6), (-1, -4)
m=(-4-6)/(-1-2) ==> plugin (x1=2, y1=6), (x2=-1, y2=-4)
m=(-10)/(-3) ==> simplify
m=10/3
Now plugin the slope into the slope-intercept form equation y=mx+b:
y = 10x/3 + b
6 = 10(2)/3 + b ==> plugin the point (2, 6) into the x and y values, (x=2, y=6).
6 = 20/3 + b ==> simplify
(6 = 20/3 + b)*3 ==> multiply the equation by 3 to remove fractions
18 = 20 + 3b ==> simplify
Now solve for b:
-2 = 3b ==> subtract 20 on both sides to isolate b
3b = -2
b = -2/3 ==> divide 3 on both sides
y = 10x/3 + (-2/3) ==> plugin b = -2/3 into the slope-intercept form equation
Answer:
y = 10x/3 - 2/3 =>adding a negative number is equivalent to subtracting the
positive number