Question

Find the equation of the line (in slope intercept form) if the slope of the line is -2 and the point (2,0) is a point on the line

Answer 1

y-0=-2(x-2)
y=-2x+4
The equation of the line in slope intercept form is y=-2x+4

Answer 2

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