Identifying Linear Functions
Using Intercepts
Slope
Slope intercept form
Point Slope form & Slopes of lines
Mixed Review
100
What is the slope intercept form of an equation?
y=mx+b
100
What is another name for the zero of a function?
x-intercept
100
What is the slope of a horizontal line?
Zero
100
If y = 2x + 3, explain what the 2 and 3 represent in this equation.
The 2 is the slope, and the 3 is the y-intercept.
100
Write the linear equation in point slope form: Slope=-7 ; (4,2)
y-2 = -7(x -4)
100
Rewrite the following equation in Standard Form.
y = (-1/2)x+7
x+2y=14
200
What is the standard form of a linear equation?
Ax+By=C
200
Find the x intercept: 2x- 4y=8
(4,0)
200
What is the slope of a vertical line?
Undefined
200
Write the equation in slope intercept form: slope=0, y intercept =-5. Make sure it is simplified.
y=-5
200
What lines have the same slope?
parallel
200
Are the following lines parallel, perpendicular or neither?
y = 3x + 4 and 9x + 3y = 6
Neither. When you rewrite the second one you get
y = -3x+2.
300
Tell whether the function is linear and rewrite it in standard form: y=x+3
Yes. It can be written as -x+y=3
300
Find the x and y intercepts of 3x+4y=24
(8,0) and (0,6)
300
Find the slope of (4,-2) and(-1,2)
What is -4/5
300
Write the equation in slope intercept form: slope=4 and (2,5) is on the line.
y=4x-3
300
How do you know when you have perpendicular slopes?
The slopes are opposite reciprocals.
300
What is the equation of a line that is perpendicular to the line y = 2x + 5, and goes through the point (0,-3)?
y = (-1/2)x - 3
400
Tell whether the set of ordered pairs satisfies a linear function. If yes, give the constant rate of change. If no, explain why not. Explain (2,4), (5,3) (8,2), (11,1)
Yes, because it has a constant rate of change of -1/3.
400
Find the x and y intercepts of 3x- 2y=12
(4,0) and (0, -6)
400
Find the slope of (20,3000) and (60,2000), and explain what the graph of this function would look like.
m = -25. The graph would be decreasing and have a y-intercept of 3,500.
400
What is the slope intercept form equation that represents this graph?
y = -2x+82
400
Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)
Point slope form: y+2= -4(x+1) Slope intercept: y=-4x -6
400
Find the error.
They substituted it in incorrectly. It should have been y+3= 2(x-6). They switched the x and y values.
500
Heather’s weekly pay is directly proportional to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. What is the direct variation equation that represents this relationship, and find the amount of pay for 40 hours of work.
y = 7.25x
$290
500
What do the x- and y-intercepts represent for this graph?
The y-intercept represents you selling 140 children's tickets and 0 adult tickets.
The x-intercept represents you selling 70 adult tickets and 0 children's tickets.
500
Find the slope of the equation: 6x + 5y=30
What is -6/5
500
Write the equation in slope intercept form and give the x- and y-intercepts: 8x+2y=8
y=-4x+4
x-intercept: (1,0)
y-intercept: (0,4)
500
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)
Point slope: y-2=3(x-3) or y+4=3(x-1)
slope intercept: y=3x -7
500
Find the error.
3=5x Since height varies directly with width, the height is the y, and the width is the k in the direct variation equation.