Coordinates and Solving Equations
Slope
Linear equations
Interpreting graphs
Second Quarter Exam
100
Find the x-intercept of 4x - 3y = 24
(6,0)
100
if A and B are two points on a line, which of the following represent slope? (see board)
a, e
100
Write the equation of a line with a slope of -7 and a y-intercept of (0,2)
y = -7x + 2
100
Which of the following is represented by the graph?
a
100
Find the x- and y-intercepts of 3x - 2y = 6
(2, 0) and (0, -3)
200
Find the y-intercept of 4x - 3y = 24
(0, -8)
200
Which of the following could be represented by slope? a. fixed cost of business b. production cost per hour c. speed of an object d. final cost of a product e. height of an object
b, c
200
Write the equation of a line passing through (3, 4) and (3, -2)
x = 3
200
Which scatterplot exhibits the strongest linear correlation?
b
200
State the slope amd y-intercept of 4x +8y = 16
m = -1/2; b = (0, 2)
300
A human's heart rate is defined to be roughly 220 minus the person's age. Write an inequality to show the maximum heart rate "r" for the person of age "a"
r < or equal to 220 - a
300
Find the slope of a line passing through (3, 7) and (14, -15)
m = -2
300
Write the slope-intercept form of a line passing through (2, 1) with a slope of -3
y = -3x + 7
300
Graph y = 4x - 2 on the board
Spec-stinkin-tacular
300
Write a line passing through (-2, 5) and is parallel to the line with the equation y = -2x + 7
y = -2x + 1
400
A state's population is currently 5,000,000 and it is losing 125,000 residents a year. Write a linear function which represents this decline, and how many years will it take for the pop. to decline to 4,000,000?
P = -125,000t + 5,000,000; 8 yr
400
Find the slope and y-intercept of 3x + 2y = 8
m = -3/2; b = (0,4)
400
Write the slope-int. form of a line parallel to 2x + 4y = 8 and passing through (1, 2)
y = (-1/2)x + (5/2)
400
Steve leaves for work in his car and ten minutes later enters the freeway. Upon exiting the freeway, he stops at a light and then proceeds to work. This graph explains his commute. What is his speed (in miles per hour) while on the freeway?
60 mi/hr
400
The line passes through the point (1, 7) and is perpendicular to the line with the equation 3x + 21y = -2. Write ht equation of this line
y = 7x
500
The average life expectancy of someone in the US in 1970 was 71 yr. In 2000, it was 77 yr. Write an equation of a line modeling this, then use the equation to predict the year life expectancy will reach 100 yr.
L = 0.2t - 323; 2115
500
Line "l" has the equation y = -2x + 3. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
parallel = -2; perp. = 1/2
500
Write the equation of a line passing through (3, 5) and perpendicular to x = 3
y = 5
500
Steve leaves for work in his car and ten minutes later enters the freeway. Upon exiting the freeway, he stops at a light and then proceeds to work. This graph explains his commute. What is his average speed for the entire trip (in miles/hour)?
30 mi/hr
500
y varies directly with x and y=12 when x=8. Write the function rule.
y = 1.5x
M
e
n
u