Download Write an equation in point-slope form for the line that passes through

4-3 Writing Equations in Point-Slope Form
Write an equation in point-slope form for the line that passes through each point with the given slope.
Then graph the equation.
12. (2, −1), m = −3
ANSWER: y +1 = −3(x − 2)
14. (−7, 6), m = 0
ANSWER: y −6=0
16. ANSWER: y + 8 = − (x + 6)
18. (−6, 0), horizontal line ANSWER: y =0
Write each equation in standard form.
eSolutions
- Powered
= −3(x
+ 2) by Cognero
20. y − 6Manual
ANSWER: Page 1
18. (−6, 0), horizontal line ANSWER: 4-3 Writing
Equations in Point-Slope Form
y =0
Write each equation in standard form.
20. y − 6 = −3(x + 2)
ANSWER: 3x + y = 0
22. ANSWER: 2x − 3y = −2
24. ANSWER: 3x + 2y = −17
26. 4y − 5x = 3(4x − 2y + 1)
ANSWER: 17x − 10y = −3
Write each equation in slope-intercept form.
28. y − 11 = 3(x + 4)
ANSWER: y = 3x + 23
30. y − 1 =
(x + 5)
ANSWER: y=
x+5
32. y + 6 = − (x + 8)
ANSWER: y = − x − 12
34. y + 4 = 3(3x + 3)
ANSWER: y = 9x + 5
36. CCSS REASONING A company offers premium cable for $39.95 per month plus a one-time setup fee. The total
cost for setup and 6 months of service is $264.70.
a. Write an equation in point-slope form to find the total price y for any number of months x. (Hint: The point (6,
264.70)
is a- Powered
solutionbytoCognero
the equation.)
eSolutions
Manual
Page 2
b. Write the equation in slope-intercept form.
34. y + 4 = 3(3x + 3)
ANSWER: 4-3 Writing
Equations in Point-Slope Form
y = 9x + 5
36. CCSS REASONING A company offers premium cable for $39.95 per month plus a one-time setup fee. The total
cost for setup and 6 months of service is $264.70.
a. Write an equation in point-slope form to find the total price y for any number of months x. (Hint: The point (6,
264.70) is a solution to the equation.)
b. Write the equation in slope-intercept form.
c. What is the setup fee?
ANSWER: a. y − 264.70 = 39.95(x − 6)
b. y = 39.95x + 25
c. $25
eSolutions Manual - Powered by Cognero
Page 3