Unit 3 Section 3A: Standard Form

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Presentation transcript:

Unit 3 Section 3A: Standard Form Algebra 1

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

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

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

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

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

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.

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.

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

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.