Answer:
y = -2x + 4
Explanation:
Pre-Solving
We are given that a line has a slope (m) of -2, and contains the point (2,0).
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.
Solving
Since we are already given the slope of the line, we can immediately plug that into the equation.
Replace m with -2 in y=mx+b.
y = -2x + b
Now, we need to find b.
As the equation passes through (2,0), we can use its values to help solve for b.
Substitute 2 as x and 0 as y.
0 = -2(2) + b
Multiply
0 = -4 + b
Add 4 to both sides.
4 = b
Substitute 4 as b.
y = -2x + 4