Linear Functions
Vocabulary
Application
(double points)
(double points)
Finding slope and friends
Parallel and Perpendicular Lines
100
Find the slope of the line passing through the points (-2,4) and (7,5)
1/9
100
What does m represent?
What is the formula for m?
Slope = (y_1 - y_2) /(x_1 - x_2)
100
Graph using the intercepts of this equation: 5x+6y+19=0
100
If the equation for a line is y=3, is it a vertical line or horizontal line?
Would this have no slope or an undefined slope?
Horizontal, no slope
100
If two nonvertical lines are perpendicular, then the product of their slopes are ____
-1
200
What is the linear function for this graph?
y=3x+3
200
What is standard form and general form?
Standard: Ax+By=C
General: Ax+By+C=0
200
Main Street has the equation y=-(1)/(3)x-4 . Park Street is perpendicular to Main Street and goes through the point (3,-5). Write the equation for Park Street in Slope-Intercept Form.
y=3x-14
200
If the equation for a line is x=-2, is it a vertical or horizontal line?
Would this have no slope or undefined slope?
Vertical, undefined slope
200
If there is a line that has a slope of (2)/5 and there was another that was perpedicular to the first, what is the second line's slope?
-5/2
300
What is Slope-Intercept Form, and what is Point Slope Form?
Slope-Intercept Form: y=mx+b
Point Slope Form:
y-y1=m(x-x1)
300
What is another way to refer to m? (hint: there is ____ over ____)
Rise over run
300
In 1990, 9 mil. Adult men in the US live alone. In 2008, 14.7 mil. Adult men in the US live alone. Use this info. to find the slope of the linear function representing adult men living alone in the US. Round slope to 2 decimal places and describe what it represents.
m=0.32
Every 18 years, 5.7 million more adult men in the US live alone. (0.32 million men live alone per year)
300
Find the slope of the line passing through the points: (4,-2) and (-1,5)
m= -(7)/(5)
300
Write an equation of the line passing through (6,-7) and parallel to the line whose equation is y=(1)/5x+1
y=(1)/5x-8.2
400
Find the Equation of a line with slope of -(2)/(5) and a y intercept of -3 in Slope-Intercept Form
y=6x-3
400
What is the reciprocal of y/x ?
x/y
400
Using the data points (317,57.04) and (354,57.64) to obtain a linear function that models average global temperature, f(x), for an atmospheric carbon dioxide concentration of x parts per million. Round m to 3 decimal places and b to 1 decimal place.
y-57.04=(0.6)/(28)x-6.793
400
Find the slope and y-intercept of the line: 3x+6y-12=0
m= -(1)/(2)
b=2
400
Find the equation of a line that goes through (4,6) and is perpendicular to y=5x-6
y=-(1)/5x+6.8
500
Write an equation that goes through (3,-6) and slope -(1)/3 in Point-Intercept Form.
y=-(1)/3x-5
500
What is this function called? (f(x_2)-f(x_1))/(x_2-x_1)
The Average Rate of Change of a Function
500
A parallelogram is created by the intersections of the lines x=2 , x=6 , y=(1)/2x+2 , and another line. Find the equation of the fourth line needed to complete the parallelogram. The line should pass through (2, 0). (Hint: Sketch a graph to help you see the lines.)
y=(1)/2x-1
500
Average rate of change is = to ___. (not the equation)
Slope
500
Find the slope of any line that is perpendicular to the line whose equation is 5x-6y=10
-(6)/5