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5.1 writing linear equations day 1
1. Chapter 5
Writing Linear Equations
A continuation of Chapter 4
Putting it all together
Focus is on the equation vs graphing
P. 283
2. ⢠Section 5.1 Write a linear equation in the
Slope-Intercept Form
when: given the slope and Y-intercept
when: given the graph with the y-int.
Remember: Slope-Intercept Form is
y = mx + b, where m is the
slope and b is the y-intercept.
3. ⢠Remember: Slope-Intercept Form is
y = mx + b, where m is the
slope and b is the y-intercept. (0,b)
⢠y = 3/4x â 5
slope is ž and the graph
crosses y at (0,-5)
4. EXAMPLE 1 Use slope and y-intercept to write an equation
Write an equation of the line with a slope of â2 and
a y-intercept of 5.
y = mx + b Write slope-intercept form.
y = â2x + 5 Substitute â2 for m and 5 for b.
5. GUIDED PRACTICE for Examples 1 and 2
Write an equation of the line with the given slope
and y-intercept.
1. Slope is 8; y-intercept is â7.
ANSWER y = 8x â 7
6. EXAMPLE 2 Standardized Test Practice
Which equation represents the line shown?
2
A y=â x+3 B y = â 5x + 3
5 2
2 2
C y=â x+1 D y = 3x + 5
5
The slope of the line is rise = â2 = â 2 .
run 5 5
The line crosses the y-axis at (0, 3). So, the
y-intercept is 3.
y = mx + b Write slope-intercept form.
y=â 2 x+3 Substitute â 2 for m and 3 for b.
5 5
7. EXAMPLE 3 Write an equation of a line given two points
Write an equation of the line shown.
Y = 4/3 x - 5
8. GUIDED PRACTICE for Examples 3 and 4
3. Write an equation of the line shown.
ANSWER y=â 1 x+1
2
9. ⢠New Goal Today â given the y-int. and one
other point, how can you find the slope
and then write the equation? (without
graphing)
10. ⢠Write the equation of a line that passes
through the points (4,5) (0,-2).
⢠Find the slope using the slope formula.
⢠Use the slope and Y-int to write the
equation.
11. ⢠Write the equation of a line that passes
through the points (4, -2) (0,-2).
⢠Find the slope using the slope formula.
⢠Use the slope and Y-int to write the
equation.
12. ⢠Write the equation of a line that passes
through the points (-6, -1) and (0,3).
⢠Find the slope using the slope formula.
⢠Use the slope and Y-int to write the
equation.
13. ⢠A recording studio charges musicians an
initial fee of $50 to record an album. In
addition, studio time is $35 per hour.
⢠Write an equation that gives the total cost
of an album as a function of studio time (in
hours)
⢠Find the total cost of recording an album
that takes 10 hour of studio time.