Steps of Graphing
Slope and Rate of Change
Linear Equations
Linear Inequalities
Miscellaneous
100
What is the y-intercept of y=3x+4?
4
100
What is the slope of y=4x-12?
4
100
Write the equation of a line with a slope of 7 and a y-intercept of 4
y=7x+4
100
Is the boundary line solid or dotted? y>x+4?
Dotted
100
4326+1562=
5888
200
What is the slope of y=-2x+7?
-2
200
What is the slope of 2y+3x=8?
-3/2
200
Write the equation of a line with a slope of -3 and a y-intercept of -6.
y=-3x-6
200
Is the boundary line solid or dotted? 2y+3x<8
Dotted
200
8674-1095=
7579
300
What is the first step that you have to do in order to graph 4x+3y=12?
You need to solve for y, get into y= form
300
Calculate the slope of the line that contains the points (2,4) and (-2,2)
2
300
Get the equation from standard form to slope-intercept form: 4x-2y=6
y=2x-3
300
Get the linear inequality into graphable form: 5y-3x>10
y>3/5x+2
300
527x89=
46903
400
What do you have to plot first when graphing an equation in slope-intercept (y=mx+b) form?
The y intercept, the "b"
400
If 2 balloons cost $6, 4 balloons cost $12, and 6 balloons cost $18, what is the rate of change?
$3 per balloon
400
Write the equation of the line that passes through the points (0,5) and (1,0)
y=-5x+5
400
Which side do you shade, the one with the test point or the one without the test point? y<2x+5; test point (1,3)
Shade the side with the test point
400
2158/26=
83
500
How do you plot the slope of any linear equation?
Rise over run (up/down, then right)
500
If it costs $2 to print 10 photos, $4 to print 20 photos, and $6 to print 30 photos, what is the rate of change?
$0.20 per photo
500
Write the equation of the line that passes through the points (1,-3) and (4,3)
y=2x-5
500
Which side do you shade, the one with the test point or the one without the test point? 3x-2y>8; test point (2,2)
Shade the side without the test point
500
[(3+6)-(10+9)+(8-10/2)]7=
-49
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