Standard Form Of A Linear Equation Worksheet With Answer Key (Page 5 of 5) in pdf

Standard Form Of A Linear Equation Worksheet With Answer Key Page 5

16.

Write an equation using point-slope form for the line passing through the

points (4, −5) and (−2, −1).

�� + 5 = −

( �� − 4 ) or �� + 1 = −

( �� + 2 )

17.

Write an equation using point-slope form for the line passing through the

points (−2, 4) and (1, 2).

( �� − 1 ) or �� − 4 = −

( �� + 2 )

�� + 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?

The lines are parallel because they have the same slope, so they have the same

steepness

19.

Write an equation for the line passing through the point with coordinates

(3, −6) parallel to the lines from problems 16 and 17.

( �� − 3 )

�� + 6 = −

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.

�� = 340 + 30 ( �� − 25 )

c) Use your equation to find the profit made by the club after 50 students turn in their candy money.

$1,090

d) What is the y-intercept for your model? (Hint: plug in zero for x.) Interpret this value in the context of the

problem.

y-intercept is ─410. This means that the club had initial expenses of $410 before the candy sale started (probably from

buying the candy!)

Standard Form Of A Linear Equation Worksheet With Answer Key Page 5