1. Writing Equations in Slope-Intercept Form
4.1
Writing Equations in Slope-Intercept Form
Given the graph of a linear function, how can you write an equation of the line?
Students will be able to write equations in slope-intercept form.

2. Students will be able to write equations in slope-intercept form.
Remember the slope-intercept form 𝑦=𝑚𝑥+𝑏.
Write an equation of each line with the given slope and y-intercept.
Slope =−3; y-intercept = 1 2
𝑚=−3
𝑏= 1 2
𝑦=𝑚𝑥+𝑏
𝑦=−3𝑥+ 1 2
Slope =0; y-intercept =−2
𝑚=0
𝑏=−2
𝑦=𝑚𝑥+𝑏
𝑦=0𝑥−2
𝑦=−2

3. You Try!!
Students will be able to write equations in slope-intercept form.
Remember the slope-intercept form 𝑦=𝑚𝑥+𝑏.
Write an equation of each line with the given slope and y-intercept.
Slope = 2 3 ; y-intercept =0
𝑚= 2 3
𝑏=0
𝑦=𝑚𝑥+𝑏
𝑦= 2 3 𝑥+0
𝑦= 2 3 𝑥
Slope =3; y-intercept =−1
𝑦=3𝑥−1

4. Students will be able to write equations in slope-intercept form.
Write an equation of each line in slope-intercept form.
Can you identify the y-intercept and the slope from the graph?
y-intercept =−3
Slope = 𝑟𝑖𝑠𝑒 𝑟𝑢𝑛
𝑦= 3 2 𝑥−3
run =4
= 6 4
= 3 2
rise =6

5. Students will be able to write equations in slope-intercept form.
Write an equation of each line in slope-intercept form.
Can you identify the y-intercept and the slope from the graph?
y-intercept =2
Slope =− 3 4
𝑦=− 3 4 𝑥+2
rise =−3
run =4

6. Students will be able to write equations in slope-intercept form.
You Try!!
Students will be able to write equations in slope-intercept form.
Write an equation of each line in slope-intercept form.
y-intercept =−2
Slope = 4 4 =1
𝑦=𝑥−2
run =4
rise =4

7. Students will be able to write equations in slope-intercept form.
You Try!!
Students will be able to write equations in slope-intercept form.
Write an equation of each line in slope-intercept form.
y-intercept =−1
Slope =− 1 3
𝑦=− 1 3 𝑥−1
rise =−1
run =3

8. Students will be able to write equations in slope-intercept form.
Write an equation of each line that passes through the given points.
−3,5 ,(0,−1)
Find the slope and y-intercept.
(−3,5)
− (0,−1)
+ (0,+1)
−3 6
∆𝑥 ∆𝑦
𝑚= 6 −3 =−2
y-intercept is where 𝑥=0
y-intercept =−1
𝑦=−2𝑥−1

9. Students will be able to write equations in slope-intercept form.
Write an equation of each line that passes through the given points.
0,−5 ,(8,−5)
Find the slope and y-intercept.
0,−5
− (8,−5)
y-intercept is where 𝑥=0
y-intercept =−5
𝑦=0𝑥−5
𝑦=−5
+ (−8,+5) −
∆𝑥 ∆𝑦
𝑚= 0 −8 =0

10. You Try!!
Students will be able to write equations in slope-intercept form.
Write an equation of each line that passes through the given points.
0,2 ,(4,10)
Find the slope and y-intercept.
0, 2
− (4,10)
y-intercept is where 𝑥=0
y-intercept =2
𝑦=2𝑥+2 0,
+ (−4,−10)
−4 −8
∆𝑥 ∆𝑦
𝑚= −8 −4 =2

11. You Try!!
Students will be able to write equations in slope-intercept form.
Write a linear function g with the values 𝑔 0 =9 and 𝑔 8 =7.
So what are the points?
0,9 ,(8,7)
0,9
− (8,7)
y-intercept =9
𝑔(𝑥)=− 1 4 𝑥+9
−8 2
∆𝑥 ∆𝑦
𝑚= 2 −8 =− 1 4

12. So let’s review!
Students will be able to write equations in slope-intercept form.
You need to be able to write the equation given the slope and y-intercept.
Plug the information into the equation
You need to be able to write the equation given the graph.
Identify the y-intercept
Find the slope
You need to be able to write the equation given two points.