Download Writing Equations Given the Slope and Y – Intercept

Section 3.1
Algebra
Notes
Day 1
Name:
Date:
Writing Equations Given the Slope and Y – Intercept
Today’s Objective:
9 I can write the equation of a line given its slope and y-intercept
9 I can write the equation of a line by looking at its graph
EX #1: Write a slope – intercept equation of a line that has
slope of −4 and a y – intercept of 5 .
Slope – Intercept Form
y = mx + b
m = ___________ & b = ___________
Equation:
EX #2: Write a slope – intercept equation of a line
that has slope of 12 and a y – intercept of 8 .
EX #3: Write a slope – intercept equation of a line
that has slope of 11 and a y – intercept of − 23 .
Equation:
Equation:
Now, you try!
4) Write a slope – intercept equation of a line that
has a slope of
5) Write a slope – intercept equation of a line that
−1 and y – intercept of 4.
Equation:
has a slope of
2
and y – intercept of 6 .
Equation:
Writing Equations of Lines from a Graph
For # 6 – 7: Write the equation of the line.
y
6)
7)
x
y
x
Slope:
Slope:
y – intercept:
y – intercept:
Equation:
Equation:
Now, you try!
y
8)
y
9)
x
x
Slope:
Slope:
y – intercept:
y – intercept:
Equation:
Equation:
For # 10 – 13: Write the equation of the line described.
10) Write a slope – intercept equation of a line that 11) Write a slope – intercept equation of a line that
has a slope of 7 and a y – intercept of − 65 .
has a slope of
5
2
and a y – intercept of 4 .
Equation:
Equation:
12) Write a slope – intercept equation of a line that
has a y – intercept of 14 and slope of − 12 .
13) Write a slope – intercept equation of a line that
Equation:
Equation:
14) Write a slope – intercept equation of a line that
has a slope of 1 and a y – intercept of −5 .
15) Write a slope – intercept equation of a line that
Equation:
Equation:
has a y – intercept of − 43 and a slope of
has a y – intercept of
Mixed Review
For # 16 – 17: Calculate the slope of the line containing the given points.
16) ( −5,11) and ( −3, −1)
17) (14, − 6 ) and ( −1,6 )
For #18 – 19: Solve for y for the following equations.
18) 2x − 4 y = 8
19) − 6x + 3y = 27
3
2
2
3
and a slope of −1.
.