Question

A line passes through the point (-6, -8) and has a slope of 3/2

Write an equation in slope-intercept form for this line.

show work

Answer 1

y=3/2(x) -1, or y = 1.5x - 1

Explanation:

To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:

y=mx+b.

For this particular line, you would write:

-8 = 3/2(-6)+b

-8 = -18/2 + b

-8 = -9 + b

add 9 to both sides to isolate the b

-1 = b.

Now that you have the answer for b (-1), you can write the equation as:

y=3/2(x) -1