Write the equation of the graph below in slope intercept form.

Question

(2,0) and (0,-3)

step by step please.

Answer 1

slope-intercept formula: y = mx + b

We can start out by finding the slope by using the slope formula: (y₂ - y₁) / (x₂ - x₁)

m = ^{(-3 - 0)} / _{(0 - 2)}

m = ^-3/_-2

m = ³/₂

Now to find the b-value, AKA the y-intercept. Lucky for us, the quest actually GIVES us the y-intercept in one of the points: (0, -3).

b = -3

That gives us the final equation y = ³/₂ x - 3

Answer 2

The slope-intercept form of the graph is Y = mX + b where m is the slope and b is the Y intercept.

First, let's get the slope. The slope is given by (Y₂ - Y₁) / (X₂ - X₁), i.e. the difference of the Ys divided by the difference of the Xs.

In this case the difference of the Ys is (-3 - 0) = -3. The difference of the Xs is (0 - 2) = -2.

The slope is then -3 / -2 = 3 / 2. The Y intercept is the Y value when X = 0, which in this case is -3.

So the equation of the graph is slope-intercept form is Y = 3/2X -3