Slope Detective
Find the slope between the points (2, 3) and (5, 9)
2
Write the equation of a line with a slope of 2 and y-intercept of 5.
y=2x+5
Find the slope from the table.
x y
0 1
1 3
2 5
2
Graph y=x+2
line with a slope of 1 and y-intercept at 2
A taxi charges $3 to start and $2 per mile. Write the equation.
How much would it cost to go 10 miles?
y=2x+3
$23
What type of slope does a horizontal line have?
Identify the slope and y-intercept of y=-4x+8
Slope = -4
y-intercept = (0,8)
Find the slope from the table:
x y
1 8
2 5
3 2
-3
Graph y=-2x+1
line with slope of -2 and y-intercept at 1
A plant grows 4 inches each week and starts at 10 inches. Write the equation.
How tall is the plant after 6 weeks?
y=4x+10
34 inches
Find the slope between (-4, 2) and (2, -1).
-1/2
Write the equation with a rise of 1 and run of 2 and a y-intercept at (0, -3).
y=1/2x - 3
Find the y-intercept from the table:
x y
0 -4
1 -1
2 2
-4
Graph y=1/3x-3
line with slope of 1/3 and y-intercept at-3
In a gym membership plan, the initial fee is $25 and the monthly cost is $15. What does the slope represent?
How much does one year cost?
The monthly cost
$205
What type of slope does a vertical line have?
Undefined Slope
Rewrite 2x+y=9 in slope-intercept form.
y=-2x+9
x y
0 2
1 4
2 6
y=2x+2
Find the slope between (1, 20) and (4, 11)
3
A savings account starts with $100 and increases by $20 each week. What is the y-intercept?
How much money is in the account after 5 weeks?
100
$200
Find the slope of 3y+9x=21
-3
Rewrite 3x-2y=10 in slope-intercept form.
y=3/2x-5
Write the equation represented by the table:
x y
-1 8
1 2
2 -1
y=-3x+5
A line crosses the y-axis at -2 and rises 4 units for every 1 unit right. Write the equation.
y=4x-2
A line has a slope of -5 and a y-intercept of 12. Write the equation.
y=-5x+12