6.2-3 Slope-Intercept and Standard forms
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Transcript of 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