Slope
What is the slope of a horizontal line?
0
What is the slope-intercept form for when the temperature at sunset is 66°F and decreases by 3° per hour?
y = -3x + 66
What is point-slope form?
y - y1 = m(x - x1)
What are the rules for standard form
Get rid of fractions
Move the x to the left side
No negatives!
What is the slope of a vertical line?
Undefined
Write the following in slope-intercept form 2x – 3y = 6
y= 2/3x -2
Write the point-slope form for the following: (-4, 5) with slope -1/3
y - 5 = -1/3(x + 4)
Given 3x - 2y = 12 what are the two ways I can graph it?
I can convert the equation to slope intercept form (y=mx+b) OR I can graph the intercepts
What do we know about the slope of parallel lines?
The slopes are equal.
Write an equation in slope-intercept form of a horizontal line that passes through the point (0, -7)
y = -7
Identify the point and slope for the following: y + 5 = -3(x - 4)
Point: (4, -5) Slope: -3
Convert the slope intercept form to standard form: y = 2x + 5
2x - y = -5
Find the slope (-4, -5) (6, 12)
17/10
Write the following in slope-intercept form: A line that goes through (-2, 5) and has a slope of -4.
y = -4x -3
Write the following in point-slope form: (3, 4) and (-2, -5)
y - 4 = 9/5(x - 3) OR
y + 5 = 9/5(x + 2)
In a store, you sell long-sleeve shirts for $10 and short-sleeve shirts for $8. Write an equation in standard form that represents the number of long-sleeve and short-sleeve shirts you must sell to earn $400.
10x + 8y = 400
It takes Shelly 20 minutes to deliver 10 newspapers and 60 minutes to deliver 40 newspapers. Find the rate of change. Round to the nearest hundredth.
0.75 papers per minute
Write the following in slope-intercept form: (-6, 1) and (4, -4).
y = -1/2x -2
Mary is ascending in a hot air balloon at an average speed of 2 meters per second. After 30 seconds the balloon is at 60 meters. Write an equation in point-slope form to find the altitude y (in meters) for any number of seconds x.
y - 60 = 2(x - 30)
Write the following in standard form (Hint: You'll have to write it in point-slope form first, then convert it to slope-intercept, and finally convert it to standard form!): (5, 1) and (4, −2)
3x - y = 14