Algebra Chapter 4 - Section 4.5: Point-Slope Form Of A Linear Equation (Day 1) Worksheet Page 2
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1
2In questions 10-12, write the equation of each line using point-slop form:
4
10.
A line passing through a point with coordinates (6, ‒1) and with slope −
.
5
11.
A line passing through a point with coordinates (‒2, 3) and with slope 7.
2
12.
A line passing through a point with coordinates (0, 5) and with slope
.
7
In questions 13 through 18, identify the slope and the coordinates of a point for each line and use that information
to write its equation.
13.
14.
15.
m =
;
point = (
,
)
m =
;
point = (
,
)
m =
;
point = (
,
)
Equation:
Equation:
Equation:
17.
18.
16.
m =
;
point = (
,
)
m =
;
point = (
,
)
m =
;
point = (
,
)
Equation:
Equation:
Equation:
19. The Math club is hosting a fundraising event. The club will charge $7.50 per person attending the event. If 50
people attend, the math club will make a profit of $300. We can represent this information with a point with
coordinates (50, 300). We would like to write an equation to model the profit the club will make as a function of
the number of people who attend.
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 people who
attend the event. Make sure to define your variables.
c) Use your equation to find the profit made by the club when 80 people
attend the fundraising event.
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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