HA 3-3
NAME ___________________________________ DATE _____________ PERIOD _____
Linear Equations for Tables, Graphs and Verbal Descriptions
Finding equations from tables
Given the following linear equations in standard form, write the equation in slope-intercept form.
1. -3x – 2y = - 8
2. 4x – y = 9
3. 4x + 5y = -40
Write a linear equation given a table. Find the slope, x- and y-intercepts.
4.
5.
x
-14
14
21
28
f(x)
-12
4
8
12
6.
x
-4
-1
2
5
h(x)
12
3
-6
-15
x
-4
4
8
12
m=
m=
m=
x-int =
x-int =
x-int =
y-int =
y-int =
y-int =
Equation
Equation
Equation
b(x)
9
7
6
5
7. Enrichment – the table shows the value of a home over time. If the rate of change is constant,
write the equation of the line that reflects this trend and then predict the value of the home in the
16th year?
Time (yrs)
Home Value ($)
Equation of the line
1
75,000
2
90,500
Home Value
3
4
106,000 121,500
Finding equations from graphs
8.
8
9.
10.
10
9
11. Which of the following equations is represented by the graph below:
3
x+4
4
I.
y=
II.
4x – 3y = -12
III.
y=
IV.
y+4=
1
(6x + 8)
2
4
(x + 6)
3
Finding equations from verbal descriptions
12. The Blue Cab Company runs between the airport and downtown area. At pick-up there is a
$4.00 fee already showing on the meter. The additional cost comes $0.15 per mile. Write an
equation to represent this situation and find the cost if it was 42 miles.
.
Equation
Total Cost
13. Beelockey opens up a savings account with $250. At Kroger, he brings home $115 per week.
Write an equation in slope-intercept form representing his account balance and determine how
much he would have in half a year?
Equation
Balance