6.2-3 slope-intercept and standard forms

Bellwork

Solve for x

Solve for y

1. IWBAT find slope and y-intercept using the slope-intercept form. 2. IWBAT write the equation of a line from given information.

Slope-Intercept Form

linear equation : y = 3/2x + 3, y = -5x - 2

(not all equations are linear)

y-intercept : y-intercept : crosses the y axis

Slope-Intercept Form

y-intercept, substitute, slope, y-intercept

Bellwork

y = mx + b 1. What does the "m" stand for? 2. What does the "b" stand for? 3. Solve for y. 3y = 2x + 6 4. Solve for y. Then find the slope and y-intercept. 5y = 7x - 10

Write an equation of the line with slope 3/8 and y- intercept 6.

Write an equation of the line with slope -3 and y- intercept 4.

Writing an equation from a graph

Step 1: Find slope. Step 2: Use slope- intercept form.

Write the equation of the line.

Bellwork

Write the equation of the line.

What is the slope and y-intercept of:

y = mx + b

1. IWBAT graph linear equations using the slope-intercept form and standard form. 2. IWBAT transform linear equations from standard form to slope-intercept form.

Graphing equations

Graph y = 3x - 1

Graph y = 3/2x - 2

1. Solve for y, then graph the line. 3y = 4x - 6

Using standard form

Ax + By = C

Find the "x" and "y" intercepts of 3x + 4y = 8. Graph the line.

Find the x- and y- intercepts of 2x + 3y = 12. Graph the line.

Find the x- and y- intercepts of 5x -- 3y = 15. Graph the line.

Transforming to standard form

Write y = 3/4x + 2 in standard form using integers.

Multiply both sides by denominator using distributive property

Distribute

Move x term to the left side.

Transform y = -2/5x + 1 into standard form.

Transforming to standard form

H/W: p. 294 # 22 - 36 even p. 301 # 1 - 33 every other odd