Standard Form Of A Linear Equation Worksheet With Answer Key Page 2
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1
2
3
4
5In questions 10 through 12, identify the slope and the coordinates of a point for each line and use that information
to graph the line.
5
3
3
10.
�� + 4 = −
( �� + 6 )
11.
�� = −6 +
( �� − 5 )
12.
�� = −
( �� + 1 ) + 2
3
2
4
m =
;
point = (
,
)
m =
;
point = (
,
)
m =
;
point = (
,
)
In questions 13 through 15, identify the slope and the coordinates of a point for each line and use that information
to write its equation.
13.
15.
14.
m =
;
point = (
,
)
m =
;
point = (
,
)
m =
;
point = (
,
)
Equation:
Equation:
Equation:
16.
Write an equation using point-slope form for the line passing through the
points (4, −5) and (−2, −1).
17.
Write an equation using point-slope form for the line passing through the
points (−2, 4) and (1, 2).
18.
Graph both of the lines you got for questions 16 and 17 on the graph
paper to the right. What is special about these two lines? Why do you
think this is the case?
19.
Write an equation for the line passing through the point with coordinates
(3, −6) parallel to the lines from problems 16 and 17.
20. Patty Patriot is the treasurer of the Math club at Liberty. The club is having a candy sale: they already purchased
and distributed the candy among its members. After 25 students turned in their money from their sales, Patty
knows that the club has already made $340 in profit. She also knows that the club will collect $30 per student
from the candy sale.
a) What is the slope of your model?
b) Write an equation in point-slope form expressing the relationship between the profit the club will make and
the number of students who turned in their money from candy sales. Make sure to define your variables.
c) Use your equation to find the profit made by the club after 50 students turn in their candy money.
d) What is the y-intercept for your model? (Hint: plug in zero for x.) Interpret this value in the context of the
problem.
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