Download - Thursday Warm Up
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Thursday Warm Up. Summer Jobs! You have 2 summer jobs. You work 20 hours per week at the first job and earn $7.75 per hour. You make $6.75 per hour at the 2nd job. How many hours will you have to work at the 2nd job if you want to make a total of $250 per
week with both jobs together? Write an equation and solve.
The bill to fix your home air conditioner was $824.14. The parts cost $425.14 and the service technician charged $55.00 per hour in labor costs. Write an equation
and solve for how many hours the mechanic takes to fix your car?
. 25(7.75) + 6.25x = 250 x = 9 hours
425.14 + 45x = 824.14 x = 8.87 hours
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Objective
• I can graph linear equations.
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Vocabulary
• X intercept• Y intercept• Slope• Slope intercept form• Standard form
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X interceptAn x-intercept is a point in the equation where the y-value is zero
Where the graph intersects the x axis
Also referred to as “root”, “solution”, “zeroes”
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Y interceptA y-intercept is a point in the equation where the x-value is zero.
Where the graph intersects the y axis
Represented with the letter “b”
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Slope
How steep or flat a line is
Rise/Run Represented by “m”
Why the letter m??? Nobody knows!
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Slope Intercept Form
Slope of the line
Y intercept or where the graph crosses the y axis (remember b for where to begin the graph)
Y = mx + b
m represents?
b represents?
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Practice• Complete table and graph
y = (-3/4)x + 3
x intercept ( , )y intercept ( , )
y = -(2/5)x – 2
x intercept ( , )y intercept ( , )
x -2 -1 0 1 2
y
x -2 -1 0 1 2
y
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Standard Form
2x + 5y = 10X intercept (5, 0)
Y intercept (0, 2)
Ax + By = C
Can graph using x and y intercepts
Use cover up method to find intercepts
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Graph using standard form
• 2x + 6y = 12
• X intercept ( , )• Y intercept ( , )
x -2 -1 0 1 2y
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Convert to Slope-Intercept Form
• Find the slope and y intercept, then graph -2x + 3y = 9
3y = 2x + 9 (Add 2x to both sides)Y = (2/3)x + 3 (Divide both sides by 3)
Slope = 2/3
Y intercept 3
.
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Practice