Finding Slope of a Line
Identify the slope of the following equation.
y = 2x + 3
m= 2
Describe how to graph the following equation.
y = 1/3x + 4
Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.
Convert to slope-intercept form.
y - 210 = 5(x -12)
y= 5x + 150
Describe the type of correlation for Graph E.
Write an equation for a line with the following slope and points.
m = 2/3 and (0, -2)
y = 2/3x - 2
Find the slope from Graph A.
m = 7/2
Describe how to graph the following equation.
y = -2
Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.
Rewrite the following equation in slope-intercept form.
3x + 6y = -18
y = -1/2x - 3
Which correlation coefficient matches Graph F?
0.95 , -0.82 , 0 , -0.21
-0.82
Write an equation for a line with the following slope and points.
m = 1/2 and (-4, -5)
y= 1/2x - 3
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
Write the equation for Graph D.
x = -1
Rewrite the following equation in slope-intercept form.
3x - 2y = -6
y = 3/2x + 3
The table shows scores from a month of bowling. Use desmos to find the slope of the line of best fit.
Weeks: 1-----2-----3-----4
Score: 95----92----89---88
m = -2.4
Write an equation for a line with the following two points. (15, -10) (5, 10)
y = -2x + 20
Find the slope from Graph B.
m = -1
Write the equation for Graph G.
y = -5/2x + 2
The cost of an ad is $1.50 per day plus a one time set up fee of $2. Using the equation y=1.50x + 2, find the cost of a 7-day ad.
y = $12.50
The table shows population of South Carolina for 5 years. Use desmos to find the line of best fit.
Year since 2000: 1-----2-----3------4-----5
Population in Mill: 7.4---7.6---7.7---7.8---7.9
y = 0.12x+ 7.32
You buy a car wash for $5 and buy gas at a cost of $3.10 per gallon. Write and solve a linear equation to determine the number of gallons of gas you can buy.
y= 3.10x + 5
Write the equation for Graph C.
y = -1/2x + 5
The value of a car decreases at a constant rate of $2,000 per year. If the car starts at $21,000 but now has a value of $5,000, how many years has the car been used?
Use the equation y= -2,000x + 21,000
x = 8 years
The table shows number of participants in the Marathon race of Columbus. Use desmos to find the line of best fit.
Year: 1975----1980----1985----1990
Participants: 2395----5417----5594----9412
y = 1.02x - 39.4
A construction company charges $15 per hour for tree removal plus a one time fee for the use of the equipment. The total cost for 9 hours of service was $195. Write a linear equation to find the total cost.
y - 195 = 15 (x-9)