identifying linear functions
&
using intercepts
rate of change
and slope
&
the slope formula
direct variation
slope intercept form
point slope form
100
is the linear equation 3x-2=y in standard form? explain.
Yes, A=2B=1C=2
100
the slope of any non- vertical line is ?
constant
100
if x varies directly with y, then the relationship between the two variables is said to be a _________ ?
constant of variation
100
write the equation tha describes each line in slope intercept form. slope=8, y intercept =2
y=8x+2
100
graph the line with the given slope slope= -1; (3,1)
x+y=4 (ask the teacher for the graph)
200
the ___________ is the y coordinate of the point where a graph crosses the y axis. (fill in the blank)
y intercept
200
find the slope of the line that contains each pair of points: (3,6) and (6,9)
the slope is 1
200
tell whether the equation represents a direct variation, if so identify it. a.) x+y = 0 b.) 2y=-8x
a.) yes -1 b.) yes -4
200
slope= -2 y intercept= 0
y=-2x
200
write an equation in point slope form for the lie with the given slope. slope= -4 ;(1,5)
y=4x+1
300
do these ordered pairs satisfy a linear function? X 5 4 3 2 1 Y 0 2 4 6 8
yes
300
find the slope of the line that contains each pair of points: (-1,-5) and (-9,-1)
the slope is -1/2
300
the value of y varies directly with x, and y=-3 and when x=1. Find y when x=-6
y= 18
300
slope= -1/3 y intercept= 6
y=-1/3x+6
300
write an equation in point slope form for the line through two points (-2,2) and (2,-2)
y=-x
400
find the x intercept and y intercept: 2x-4y=4
y intercept = -1 x intercept= 2
400
what is the rate of change, rise run and slope? (be sure to include the formula!)
slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.
400
tell whether each relationship is a direct variation. explain. X 10 5 2 Y 12 7 4
The sets of points do not differ by the same value, so its not a direct variation.
400
write this equation in slope intercept form then graph. y+4=4/3x
y=4/3x-4 (ask the teacher for the graph)
400
write an equation in point slope form for the line through the two points. (7,8) and (6,9)
y=-x+9
500
find the x and y intercepts; 4y + 5x= 2y - 3x+16
y intercept= -2 x intercept= -3
500
the table shows the volume of gasoline in a tank at differet times. Find the rate of change for each time interval. during which time did the volume decrease at its greatest time at the greatest rate? time (s): 0 1 3 6 7 volume(gal): 12 9 5 1 1
the greatest difference is -3 in the first step
500
the value of y varies directly with x, and y=6 when x= 18. find y when x= 12
y=4
500
write the equation that describes each line in slope intercept form slope=5, the point (2,7) is on the line
y=5x-3
500
write an equation in point intercept slope form for the line with the given slope. slope -1/3; (3,8)
y+6=1/5(x-2)
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