x and y intercepts
Slope
Slope Intercept Form
Point Slope Form
Parallel and Perpendicular Lines
100
Find the x and y intercepts of the following equation: 3x + 4y = 12
x intercept = 4,0 y intercept = 0,3
100
Find the slope of the line described by the following equation: y = 12x - 10
m = 12
100
Write an equation in slope intercept form for a line that has a y intercept of -5 and a slope of 4.
y = -5 + 4x
100
Write an equation in slope intercept form that has a slope of 5 and contains the point (6,7)
y = 5x - 23
100
Write an equation in slope intercept form for a line that has a y intercept of (0,-5) and is parallel to the line described by the equation y = 3x - 10.
y = 3x - 5
200
Find the x and y intercepts of the following equation: y = 7x - 35
x intercept = 5,0 y intercept = 0, -35
200
Find the slope of a line described by the following equation: y - 3 = 10(x + 9)
m = 10
200
Write an equation in slope intercept form for a line that has a y intercept of 10, and a slope of 0.
y = 10
200
Write an equation in slope intercept form for a line that has a slope of 2/3 and contains the point (6,10)
y = 2/3x + 6
200
Give the equation in slope intercept form for a line that has a y intercept of (0,25) and is perpendicular to a line whose equation is y = 7x - 5.
y = -1/7x + 25
300
Find the x and y intercepts of the following equation: y = 8
x intercept does not exist, y intercept = 0,8
300
Find the slope of the line described by the following equation: 5x + 25y = 30
m = -1/5
300
Write an equation in slope intercept for the following equation: 10x - 5y = 40
y = -8 + 2x
300
Write an equation in slope intercept form that has a slope of 8 and contains the point (3,4)
y = 8x - 20
300
Write an equation in slope intercept form for a line that has a y intercept of (0,-6) and is parallel to a line whose equation is 12x + 6y = 60.
y = -2x - 6
400
Find the x and y intercepts of the following equation: y - 4 = 4(x + 3)
x intercept = -4,0 y intercept = 0,16
400
Find the slope of a line that contains these two points: (-3, -15) (-12, 7)
m = -22/9
400
Write an equation in slope intercept form for the following equation: y + 12 = 15(x - 11)
y = -177 + 15x
400
Write an equation in slope intercept form that contains the points (-10, 14) and (-5, 29)
y = 3x + 44
400
Write an equation in slope intercept form for a line that has a y intercept of (0, 35) and is perpendicular to a line whose equation is -51x + 17y = 34.
y = -1/3x + 35
500
Naima has $40 to spend on refreshments for herself and her friends at the movie theater. The equation 5x + 2y = 40 describes the number of large popcorns x and small drinks y she can buy. Find the x and y intercept of this function and explain what each means.
x intercept is 8,0 and represents how many large popcorns she could buy if she bought 0 small drinks. y intercept is 0,20 and represents how many small drinks should buy if she bought 0 large popcorns.
500
Find the slope of a line that contains these two points: (-10, 20) (-10, 25)
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500
The cost of food for an honor roll dinner is $300 plus $10 per student. Write an equation in slope intercept form that represents this scenario.
y = 300 + 10x
500
Brody's pay check for December includes a bonus on top of his regular wages. If Brody works 20 hours he earns $600. If he works 50 hours he makes $1050. Write an equation in slope intercept form that represents Brody's normal wages plus his bonus.
y = 15x + 300
500
Could a triangle with vertices at (7,10), (-3,6), and (9, 2) be a right traingle. Why or why not?
No, because none of the sides are perpendicular to each other, so there are no right angles in this triangle.
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