Slope from Graphs & Points
What formula can you use to find slope from two points?
m = (y2 - y1) / (x2 - x1)
In rise/run, which part is vertical change and which part is horizontal change?
Rise is vertical change, run is horizontal change
in y = mx + b, what are m and b?
m is slope and b is y-intercept
Write an equation with slope 5 and y-intercept 7
y = 5x + 7
Which quadrant contains the point (-3, 5)?
Quadrant II
Find the slope between (0, 1) and (4, 9)
m = 2
A ramp rises 2 feet over a horizontal distance of 8 feet. What is the slope?
m = 1/4
Identify m and b in y = 3x - 2
m = 3, b = -2
A dog walker charges $10 to come to the house plus $6 per dog. Write the equation.
y = 6x + 10
Translate the point (2, -1) left 4 units and up 3 units.
(-2, 2)
Find the slope between (-2, 3) and (4, 6) and simplify
m = 1/2
A biker is at 6 miles after 1 hour and 18 miles after 5 hours. What is the rate of change?
3 miles per hour
For y = -1/2x + 4, what is the y-intercept and one other point on the line?
Y intercept: (0, 4)
Other points: (2, 3) or (-2, 5)
Write the equation for the table: x = 0, 1, 2, 3 and y = 25, 32, 39, 46.
y = 7x + 25.
Reflect the point (5, -2) over the y-axis.
(-5, -2)
A line goes through (-4, -1) and (2, 5). Find the slope and say if it is positive, negative, zero, or undefined.
m = 1, positive
A parking cost is $12 after 2 hours and $30 after 5 hours. What is the rate of change?
$6 per hour
List 3 points on the line y = 2x + 1
(0, 1) or (1, 3) or (2, 5)
A line crosses the y-axis at -3 and goes up 4 for every 2 units to the right. Write the equation.
y = 2x - 3
A right triangle has legs 6 and 8. What is the hypotenuse?
10
A line goes through (3, 8) and (3, -2). Find the slope.
Undefined
Temperature drops from 68°F at 6 a.m. to 50°F at noon. Find the slope.
-3°F per hour
A video service charges $12 to sign up and $4 per movie. Write the equation and interpret m and b.
y = 4x + 12. m = 4 dollars per movie; b = 12 dollars to sign up.
Write the equation for the table: x = 0, 2, 4, 6 and y = 14, 20, 26, 32.
y = 3x + 14
A map shows the school at (-3, 2) and the library at (5, 8). What is the straight-line distance?
10 units