Slope Detective
Find the slope between the points (1,2) and (3,6).
2
A table shows x: 0, 1, 2, 3 and y: 2, 5, 8, 11. What is the slope?
3
A line has a slope of 2 and a y-intercept of 3. Write its equation.
y = 2x + 3
In y=3x+7, what is the y-intercept?
7
In y = −4x + 6, identify the slope and y-intercept.
Slope = −4; y-intercept = 6
Find the slope between (−2, 5) and (2, −3).
-2
A table shows x: 0, 1, 2, 3 and y: 4, 6, 8, 10. Write the equation of the line.
y = 2x + 4
A line has a slope of −3 and crosses the y-axis at −2. Write its equation.
y = −3x − 2
A line has slope -2 and passes through (0,5). Write its equation.
y= -2x + 5
A line passes through (2, 9) and (4, 15). Find the slope.
m = 3
A line passes through (−3, 4) and (3, 4). What is its slope?
0
A table shows x: 1, 2, 3, 4 and y: 5, 9, 13, 17. Write the equation of the line.
y = 4x + 1
A horizontal line passes through (2, 5). Write its equation.
y = 5
A line passes through (1,8) and (3,12). Find the slope.
2
A line passes through (2, 8) and (4, 14). Find the y-intercept.
b = 2
A line passes through (5, −2) and (5, 6). What is its slope?
Undefined
A table shows x: −2, 0, 2, 4 and y: 9, 5, 1, −3. Write the equation of the line.
y = −2x + 5
A vertical line passes through (−4, 3). Write its equation.
x = −4
A line has slope 3 and passes through (2,10). Find the y-intercept.
4
Runner A takes 9 minutes per mile. Runner B takes 8 minutes per mile. Runner C runs 3 miles in 30 minutes. Who is fastest, and why?
Runner B. Their rate is 8 minutes per mile, the lowest time per mile.
The points (1, 3), (3, 9), and (5, 15) lie on the same line. Find the slope using two different pairs of points.
Both slopes equal 3
A business earns $7 per item sold but pays a one-time $12 fee. Write an equation for its profit y after selling x items. What does the y-intercept mean?
y = 7x − 12. The y-intercept represents the initial $12 expense.
A line passes through (2, 7) and (4, 11). Write its equation in slope-intercept form.
y = 2x + 3
A line passes through (-1,9) and (3,1). Find its equation.
y = -2x + 7
A line passes through (−2, 7) and (4, −5). Find the slope and y-intercept, then write the equation.
m = −2; b = 3; y = −2x + 3