Activities 5-7
Slope/Rate of Change
Slope-Intercept/Point-Slope Form
Direct/Indirect Variation
Miscellaneous
100
Is the following relation a function? Why or why not?
Not a function because the x value -1 has two different outputs.
100
What is the slope of the following line:
y=-4x+8
m=-4
100
A line has a slope of -2/3 and a y-intercept of 8. Write the equation of the line in slope-intercept form.
y=-2/3x+8
100
Given the direct variation below, what is the constant of variation?
y=5x
k=5
100
What is the range of the following relation:
(-5, 1),(-3, 4),(-1, 5),(0, 4),(1, 5)
Range: {1, 4, 5}
200
What are the relative maximum and minimum values of the following graph?
Relative maximums: 1 and 2
Relative minimums: -3 and -1
200
What is the slope of the graph below?
m=-5/3
200
Write the following equation in slope-intercept form.
3x+7y=35
y=-3/7x+5
200
They value of y varies directly with x and the constant of variation is 6. What is the value of x when y=54?
x=9
200
Find the slope of the line that passes through the following two points.
(0, 5) and (8, 37)
m=4
300
What is the slope of ALL vertical lines?
Undefined
300
Write the equation in point-slope form of a line that has a slope of 4 and goes through the point (-1, -7).
y+7=4(x+1)
300
The value of y varies indirectly with x and the value of the constant variation is 28. What is the value of y when x=4?
y=7
400
Evaluate the following function for x= -6
f(x)=2x^2+4x-10
f(-6)=38
400
What is the rate of change of the function shown in the table below?
Rate of Change:
3/2
400
What are the slope and y-intercept of the following line?
2x+4y=7
Slope:
-1/2
Y-intercept:
(0, 7/4)
400
The value of y varies directly as x and y=9 when x=6. What is the value of y when x=15?
y=22.5
500
A spring is stretched 10 cm by a mass of 2.5 grams. The same spring is stretched 13 cm by a mass of 3.25 grams. Write an equation to show how much the spring will stretch for any mass.
d=4m
500
Find the slope of the line that passes through the following two points.
(-10, -8) and (4, 7)
m=15/14
500
Write the equation in slope-intercept form of the line that passes through the points (2, 6) (3, 7).
y=x+4
500
The value of y varies indirectly as x and y=4 when x=20. What is the value of y when x=40?
y=2