Question

Write the equation in slope intercept form (9,2) and (-3,-2)

Answer 1

Slope intercept form is given by:

y = mx + b

where:

m = slope

b = y-axis intercept

Let's find the slope m using the following formula:

m = (y2 - y1)/(x2-x1)

Where:

(x1,y1) = (9,2)

(x2,y2) = (-3, -2)

m = (-2 - 2)/(-3 - 9) = -4/-12 = 1/3

Now, lets use the point slope formula:

y - y1 = m(x - x1)

y - 2 = 1/3(x - 9)

Solving for y:

y - 2 = x/3 - 3

y = x/3 - 3 + 2

y = x/3 - 1