Download Name ______ Finite Period ____ 1.1 WS Lines Standard Form

Name _____________
Period ____
Standard Form(General Form)
Ax + By = C
Finite
1.1 WS
Lines
Point-Slope Form:
y  y1  m ( x  x1 )
Slope-Intercept Form:
y  mx  b
1. Find the equation of the vertical line containing the point (2,-3)
2. Find the equation of the horizontal line containing the given point (2,-3)
3. Find the general equation of a line with slope 5 containing the point (2,-3)
4. Find the slope of the line and interpret what the slope means.
5. Plot the points (2,3), (1,0) and find the slope of the line containing them. Interpret the slope.
6. Plot the points (-2,3), (2,1) and find the slope of the line containing them. Interpret the slope.
7. Graph the line containing the point (-1,3) and having slope 0.
8. Find the general equation (standard form) of the line.
a)
b)
9. Find the general equation (standard form) when m = 2 and the line contains the point (-4,1)
10. Find the general equation (standard form) when the line contains the points (1,3) and (-1,2)
11. Find the general equation (standard form) when the x-intercept is (2,0) and the y-intercept is
(0,-1)
12. According to the American Automobile Association the average annual cost of operating a
standard-sized car, including gas, oil, tires, and maintenance decreased to $.54 per mile in 2009.
Find the linear equation that relates the average cost C of operating a standard sized car and the
number x of miles it is driven.
13. An electricity company charges customers a monthly charge of $8.23 plus .10438 dollars per
kilowatt-hour for up to 400 kilowatt hours.
a) Find the linear equation that relates the monthly charge C, in dollars, to the number x of
kilowatt-hours used in a month, 0 ≤ 𝑥 ≤ 400
b) Graph the equation.
c) What is the monthly charge for using 100 kilowatt hours?
d) What is the monthly charge for using 300 kilowatt hours?
e) Write a sentence expressing how C changes for every unit in x.
14. Dan receives $400 per week for selling new and used cars. In addition, he receives 5% of the
profit on any sales he generates.
a) Find the linear equation that relates Dan’s weekly salary S when he has sales that
generate a profit of x dollars.
a) If Dan has sales that generate a profit of $4000, what are his weekly earnings?