Question

A line passes through the point (-9,-8) and has a slope of 2/3

. Write a equation in slope intercept form for this line

Answer 1

y=2/3x-2

Explanation:

The equation is y = mx + b and m is the slope. You were already given the slope and you were even given a point. All you have to do is graph the point and use the slope until it intercepts the y-axis.

1. Plot the point (9,-8)

2. Go up 2, left 3 spots until the line hits the y-axis (the vertical one)

3. That point is what b will be equal to in y = mx + b

OR you can convert a point-slope equation into slope intercept

1. The formula for point slope is y – y1 = m(x – x1)

2. Plug in the given numbers and it will look like this: y+8=2/3(x+8)

3. Do the math and get a solution of y=2/3x-2