Download Name____________________________________ Study Guide

Name____________________________________
Study Guide Algebra 1 Unit 4
Writing Equations of Lines
y
For #1-6, with the given information, write the equation in slope-intercept form.
1.
f(0) = 7, f(3) = 1
2.
slope:
2
; through point (-6,4)
3
5
4
3.
3
2
1
–5
–4
–3
–2
–1
–1
1
–2
–3
–4
–5
4.
(10,-5), (-5,1)
5.
slope:2, y-intercept: 9
6.
f(2) = 7, f(4) = 6
With the given information write an equation in standard form.
7.
(-5,2), (-4,3)
8.
(-4,-4), m = -3/2
9.
Is the line through (4,3) and (3,-1) perpendicular to the line through (-3,3) and (1,2)? Justify your answer.
10.
Find the zero of the function f(x) = 7.5x –20.
11.
Graph y + 3 = -2(x - 2)
Identify the slope and point in the equation given:
Point: ___________
Slope: ___________
11. Find the zero of the function f(x) = -3x + 6
Given the graph below, write an equation for the line in slope-intercept form.
13.
14.
2
3
4
5
x
15.
Write an equation of a line that passes through (-2,5) and is parallel to y = -4x - 6.
Find the missing coefficient in the equation of the line that passes through the given point.
Write the completed equation in standard form.
16.
-x + By = 10, (-2,-2)
18.
A carnival charges $2.50 per ride after an entrance fee. You paid a total of $22.50 after six rides. Write an equation
that gives the total cost as a function of the number of rides. Find the total cost for 15 rides.
19.
Write an equation of a line that passes through the point (-5,2) and is perpendicular to the line y = 2x+1.
20.
A line passes through (3,5) and (3,-7). Write the equation of this line. Is the line is vertical, horizontal or neither.
21.
17.
Ax + 3y = 5, (2,1)
Determine which lines, if any, are parallel or perpendicular.
a.
y
3
x 1
5
b.
5y = 3x -2
c.
10x - 6y = -4
22.
Write the equation of the horizontal and vertical lines passing through (-1,4).
Horizontal:
23.
T-shirts at a flea market cost $4.50 each and shorts cost $6 each. You have exactly $108 to spend.
a. Write an equation in standard form that models the possible combinations of T-shirts and shorts you can buy.
b. Identify the x and y intercepts; then explain what the x an y intercepts represent in the situation.
24.
Write the equation of the line that is parallel to 3x + 5y = 20 that passes through the point (5,-1)
25.
Are the lines given by the equations y  3x  8 and 3x  2 y  8
26.
Write the equation y  3   ( x  8) in slope intercept and standard form.
1
2
parallel? Explain.
Vertical: