Slope
Equations/Rules
Converting
Graphing
100
What variable do we use to represent slope?
m
100
What is the equation for slope-intercept form?
y=mx+b
100
Convert 4x+y=-5 into slope intercept form:
y=-4x-5
100
What is the slope on this graph?
undefined
200
How do we find slope on a graph?
(rise)/(run)
200
What is the equation for point slope form?
y-y1=m(x-x1)
200
Convert 3x-y=-2 into slope intercept form:
y=3x+2
200
What is the slope on this graph?
zero
300
What are the four kinds of slopes?
positive, negative, zero, and undefined
300
What is the equation for standard form?
Ax+By=C
300
Convert the following equation to slope intercept form:
y+14=-3/4(x-4)
y=-3/4x-11
300
Is this the correct graph for x=8? Why?
yes, is it going up and down through 8
400
What is the equation for slope?
m=(y_2-y_1)/(x_2-x_1)
400
What does the 'b' in y=mx+b stand for?
y-intercept
400
Convert 4x+y=6 to slope-intercept form:
y=-4x+6
400
Is this the correct graph for y=-4? Why?
no, it should be going horizontally through the -4
500
Given the points (1, 2) and (3, 4), what is the slope?
m = 1
500
Write an equation in point-slope form of the line that goes through point (3, -2) and has a slope of -4.
y+2=-4(x-3)
500
Convert 6x+2y=10 to slope-intercept form:
y=-3x+5
500
Is this the correct graph for y=3x+2? Why?
yes, the y-intercept is at (0, 2) and the line is increasing at a positive rate by going up 3 and over 1
600
Given the points (8, 4) and (-2, 4), what is the slope?
0
600
What does 'x1' and 'y1' stand for in y-y1=m(x-x1)?
a coordinate point
600
Convert y-3=2(x-4) into slope-intercept form:
y=2x-5
600
Is this the correct graph for y-5=7(x+3)? Why?
no, the coordinate point (-3, 5) is correct but the slope is wrong, instead of graphing up 7 over 1 it is up 1 over 7
700
What is the slope?
1/6
700
Write the equation of the line that goes through points (-2,7) and (2,-1).
y=-2x+3
700
Convert the following equation into slope-intercept form:
y-9=-2/3(x-2)
y=-2/3x+31/3
700
Is this the correct graph for 2x-4y=-8? Why?
no, the y-intercept and x-intercept are flipped