Math 10
Ch 7. Linear Equations and Graphs
Lesson 7-3
Lesson 7-3 General Form ( Ax + By + C = 0)
Warmup:
#1 State the slope and y-intercept of each line represented below.
a)
y=
4
x +3
5
b)
Line
A
A.
Slope
y-intercept
B
B.
C
C
D
D
Equation of a Line
Slope-Intercept Form:
General Form:
Ex. #1 Each of the following equations represent a line. How do we know? Which of these lines is properly written in
general form?
a) 213 x − 3 y − 336 = 0
b) −2 x + 3 y + 6 = 0
2
2
c) 5 x + 6 y + 6 = 0
Finding the x-intercept, y-intercept and slope:
Ex. #2 Find the x-intercept, y-intercept and slope for the line:
b)
a)
2 x − 5 y + 10 = 0
d)
7 x − 3 y + 16 = 0
Math 10
Ex. #3
a)
Ch 7. Linear Equations and Graphs
Lesson 7-3
Find the x and y intercepts then convert to slope-intercept form.
4 x − 16 y + 24 = 0
b)
3 x − 10 y + 30 = 0
Using General Form
Ex. #4
a)
Graph each of the following lines using their x and y intercepts.
2x − 3y + 6 = 0
b) 5 x + 3 y − 9 = 0
c)
7 x − 5 y = 14
Ex. #5 Write each of the following equations in general form:
a)
y = 2 x +3
b)
y=
4
x−2
5
c)
y=−
7
x +5
11
Ex. #6 The equation of a line is 2 x − 3 y − k = 0 . Point C(3,-5) is on the line. What is the value of k?
Ex. #7 Brooke wants to save $336 to decorate her bedroom. She has two part-time jobs. On weekends, she works as a
snowboard instructor and earns $12 per hour. On weeknights she earns $16/hour working as a high school
tutor. Please open your textbook to pg. 363 and work though this question with your partner.