Algebra 1 Common Core Student Edition, Grade 8-9

Concept Byte

Use W it h Lesson 5- 3

Investigating

y = mx + b

Co m m o n Co r e St at e St a n d a r d s

F-BF.B.3 Ident ify t he ef fect on t he graph of

replacing f(x) by f(x) + k, kf(x), f{kx), and

f(x + k) for specific values of k (bot h positive

and n eg at i v e)...

MP 5

You can use a graphing calculator to explore th e graph of a n eq u a tio n in th e form

y = mx + b. For this activity, choose a stan d ard screen by pressing g J D t 6.

1. G raph these eq u atio n s on th e sam e screen. Then com plete each statem ent.

MATHEMATICAL

PRACTICES

y = x + 3 y = 2x + 3

a. The graph of J_ is steepest.

b. The graph of _?_ is th e least steep.

y = ~x + 3

2. M atch each e q u a tio n w ith th e best choice for its graph,
   l C. y = x - 2


3. G raph th ese equations on th e sam e screen.
   y=2x + 3 y = -2 x + 3
   How does the sign of m affect th e g raph of th e equation?


4. Reasoning How does changing the value of m affect th e g raph of an eq u a tio n in
   th e form y = m x + bl


5. G raph these eq u atio n s o n th e sam e screen.
   y = 2x + 3 y = 2x-3 y = 2x + 2
   W here does th e graph of each eq u a tio n cross th e y-axis? (Hint: Use th e ZOOM
   feature to b etter see th e points of intersection.)


6. M atch each equation w ith th e b est choice for its graph.
   A. y = ; x — 3

i 7. Reasoning How does changing the value of b affect th e graph of an eq u a tio n in

the form y = mx + b?

PowerAlgebra.com

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I C o n ce p t B yte In v e s tig a tin g y = mx + b^307