Name: _________________________________________
Hour: ___________
Algebra 1 Review
Equations of Linear Functions
Write the correct response on the line.
_____ 1. Identify the slope and y-intercept of the graph of the equation 4x -6y = 5 .
a. m = -
2
3
and b = 5
c. m = 6 and b =
b. m = 2 and b = 5
5
d. m =
6
_____ 2. Match the function with its graph. f(x) = a.
b.
c.
d.
1
2
2
3
and b = -
5
6
x-3
_____ 3. Write an equation in point-slope form of the line that passes through the given points.
(5,6) and (1,7)
a. y + 6 = 6(x – 5)
1
b. y – 6 = 6 (x – 1)
1
c. y – 6 = 6 (x – 5)
d. y  6  4( x  5)
_____ 4. Solve the equation. Round to the nearest hundredth.
2.65x + 1.23 = 4.95 – 1.19x
a. x = 2.26
b. x = .969
c. x = - 2.26
d. x = - 6.69
_____ 5. From the scatterplot below, which of these could be a line of best fit?
a.
b.
c.
d.
y  x  100
y  x  100
x  100
y  100
_____ 6. When Julie was asked to graph the two functions below, she was surprised to discover
that the two equations generated the same line.
𝑥
2
𝑦
– 7 =1
7
y=2x–7
a) Do you agree with Julie? __________
b) Compare the functions. Describe why they are different representations of the same line.
Include slope and intercepts in your discussion.
_________________________________________________________________
_________________________________________________________________
7. Write an equation of the line that is parallel to the line y = - 3x + 5 and passes through the
point (- 1, - 2).
Equation: _____________________
8. Write an equation in slope-intercept for of the line that passes through the points,
(0, 5) and (2, 6).
Equation: _____________________
9. The table below shows the average number of gallons of milk a family drinks per week.
 Sketch a scatter plot for this data
 Find an equation that best represents the data
 Use the equation to find the milk consumption in one week of 7-member family.
Family Size
1
2
3
4
5
6
Number of Gallons
of Milk
1
1.3
2.4
3.6
4.2
5
Equation: ____________________
Milk Consumption: _____________
10. Write the equation in point-slope form of the line that passes through the given points.
(2,-1) and (-5,7)
Equation: ____________________
11. Write an equation of a line that is perpendicular to y = -2x + 4 and passes through the
point (2,5).
Equation: ____________________
12. Write the equation in slope-intercept form then graph. Then classify the line by its slope.
3y + 9x = 12
Equation: ____________________
Classification: ________________