1. Unit 3 Section 3A: Standard Form
Algebra 1

2. Reminder: Slope-Intercept Form
𝑦=𝑚𝑥+𝑏
𝑦=3𝑥−5
𝑦=−3.3𝑥+4
𝑦= 8 3 𝑥− 4 9

3. Write an Equation in Slope-Intercept Form
𝑦=𝑚𝑥+𝑏
𝑚=−3, 𝑏=9
𝑚=− 2 5 ,𝑏=−4
𝑚=−0.18, 𝑏=0.52

4. Point Slope Form: 𝒚− 𝒚 𝟏 =𝒎(𝒙− 𝒙 𝟏 )
Write an Equation in Slope-Intercept Form that passes through the given points.
(𝟒,𝟑) & (𝟗,𝟖)
Find the Slope
Pick the 1st or 2nd Ordered Pair
Put the slope and 𝒙 𝟏 , 𝒚 𝟏 into
Point-Slope Form
Solve for y

5. Point Slope Form: 𝒚− 𝒚 𝟏 =𝒎(𝒙− 𝒙 𝟏 )
(𝟑,𝟗) & 4,−𝟔)
(𝟒,𝟖) & (−𝟔,𝟕)

6. Find the x and y intercept of a line.
−𝑥+ 3 7 =8
−8𝑥+7𝑦=56

7. Find the x and y intercept of a line.
−8𝑥+7𝑦=56
Set y = 0 to solve for x-intercept
Set x = 0 to solve for y-intercept.

8. Find the x and y intercept of a line.
−𝑥+ 3 7 𝑦=8
Set y = 0 to solve for x-intercept
Set x = 0 to solve for y-intercept.

9. Standard Form: Ax + By = C
𝑦= 1 7 𝑥+4
𝑦=0.5𝑥−0.6

10. A department store is selling a comforter for $65 each and pillows for $10 each. Write an equation in STANDARD FORM for the number of comforters c and pillows p you could buy with $235.