Answer: y = -2x+3
Slope = -2
y intercept = 3
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Explanation:
Use the two points shown in the slope formula
m = (y2-y1)/(x2-x1)
m = (-3-3)/(3-0)
m = -6/3
m = -2
The slope of -2 can be thought of as -2/1
slope = -2/1 = rise/run
rise = -2 and run = 1
Each time we move down 2 units, we move to the right 1 unit.
The y intercept is b = 3 since this is the location where the line crosses the y axis.
We go from y = mx+b to y = -2x+3 as the final answer
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To check the answer, let's plug in (x,y) = (0,3)
y = -2x+3
3 = -2(0)+3 ... replace x with 0 and y with 3
3 = 0+3
3 = 3 ... true equation
Now let's plug in (x,y) = (3,-3)
y = -2x+3
-3 = -2(3)+3 ... plug in x = 3 and y = -3
-3 = -6+3
-3 = -3 .... also true
Because both points make the equation y = -2x+3 true, this confirms we have the correct equation.
