 I can master writing linear equations in slope-intercept form and standard form given various contexts.
Algebra 1
Name: _________________________________
Unit 3: L2 Review
Date: ________________
Period: ________
Practice… Writing Equations of Lines in SIF and Standard Form
Section 1: Write the equation of the line given the slope and y-intercept.
PROBLEM
1
1) slope = 
4
S
I
F
I
F
y-intercept = 9
Section 2: Write the equation of the line given a graph.
PROBLEM
S
2)
Section 3: Write the equation of the line given the slope and a point.
PROBLEM
3) slope = -4
S
I
F
I
F
passes through (-7 , 0)
Section 4: Write the equation of the line given two points.
PROBLEM
4) passes through
(2 , 5) and (4 , -1)
S
 I can master writing linear equations in slope-intercept form and standard form given various contexts.
Section 5: Write the equation of the line given a parallel line and a point.
PROBLEM
5) // y  5x  6
S
I
F
passes through (-3 , -8)
Section 6: Write the equation of the line given a perpendicular line and a point.
PROBLEM
6)  y  3x  8
S
I
F
passes through (9 , 1)
Section 7: Write the equation of the line using HOY.
PROBLEM
7) slope = zero
S
I
F
I
F
passes through (5 , -12)
Section 8: Write the equation of the line using VUX.
PROBLEM
8) slope = undefined
S
passes through (-4 , -2)
Section 9: Write the equation of each in “standard form.”
PROBLEM
2
9) y  x  6
3
Standard
 I can master writing linear equations in slope-intercept form and standard form given various contexts.
Section 10: Mixed. Write the equation of the line in SIF and Standard Form.
PROBLEM
10) slope = zero
passes
through
(0.5 , -1.5)
11) m  6
passes
through
(4 , -3)
12) passes
through (1 , 8)
and (-2 , -1)
13) passes
through
(-4 , -4) and
(-4 , 9)
4
and
5
1
b
2
14) m 
15)  to
y  2 x  6
and passes
through
(-4 , 7)
16) parallel to
1
y   x4
3
and passes
through
(-7 , 2)
3
17) m 
2
passes
through
(8 , 0)
S
I
F
Standard
 I can master writing linear equations in slope-intercept form and standard form given various contexts.
Section 11: Applications.
18) Maria needs $2.20 to buy a magazine. The only money she has is a jar of nickels and dimes. Write
an equation in “standard” form for the different amounts of nickels x and dimes y she could use.
19) A salesperson for an appliance store earns a monthly pay of $1,250 plus a 4% commission on the
sales. Write an equation in “slope-intercept” form that gives the total monthly pay y in terms of x.
20) The 8th grade at Lenape holds a car wash to raise money. A local merchant donates all of the
supplies. A wash costs $5 per car and $6.50 per van or truck. Write an equation in “standard” form to
related the number of cars x and vans or trucks y the students must wash to raise $800
21) A television production company charges a basic fee of $4,000 and then $2,000 per hour when
filming a commercial. Write an equation in “slope-intercept” form relating the basic fee and per-hour
charge.