Lesson 3.2

A

B

C

D

E

Find the x-intercept and write the equation in standard form.

Locate the y-intercept, find the slope, and write the equation in y = mx + b form.

Calculate the slope using any two points and write the equation in point-slope form.

Locate the vertex and write the equation in vertex form.

Slope = $$\frac{y_2-y_1}{x_1-x_2}$$

$$\frac{x_2-x_1}{y_2-y_1}$$

$$\frac{y_1-y_2}{x_1-x_2}$$

$$\frac{y_2-y_1}{x_2-x_1}-$$

-2

2

-4

0

(5, 3) and (-2, 3)

(3, 2) and (8, 5)

(1, -1) and (3, -5)

(6, -2) and (6, 4)

y = 4/3x + 5

y = 4/3x - 5

y = 3/4x + 5

y = -4/3x + 5

The slope represents gallons added per minute.

The y-intercept represents the initial amount of water in the pool.

The slope represents gallons drained per minute.

The y-intercept represents the final amount of water in the pool.

a. Parabola

b. Straight line

c. Wavy curve

d. Sideways parabola