Question

period
, graph ( y = mx + b )

1. ( y = 2x + 3 )

( m = )
( b = )
(( y )-intercept)

1. ( y = -4x )

( m = )
( b = )
(( y )-intercept)
vocabulary: solve system of linear equations by graphing.
illustrative example 1:
( y = -2x - 1 )
( m = )
( b = )
( y = 2x + 5 )
( m = )
( b = )
sentence frame
the solution is
sketch both lines
intercept at this point

Explanation:

Step1: Identify slope/int for $y=2x+3$

Compare to $y=mx+b$: $m=2$, $b=3$

Step2: Identify slope/int for $y=-4x$

Compare to $y=mx+b$: $m=-4$, $b=0$

Step3: Identify slopes/ints for example 1

For $y=2x-3$: $m=2$, $b=-3$; For $y=2x+5$: $m=2$, $b=5$

Step4: Determine solution for example 1

Slopes are equal, lines are parallel. No intersection.

Answer:

1. For $y=2x+3$:

$m=2$, $b=3$

1. For $y=-4x$:

$m=-4$, $b=0$

1. For illustrative example 1:

First equation ($y=2x-3$): $m=2$, $b=-3$
Second equation ($y=2x+5$): $m=2$, $b=5$
Sentence frame:
The solution is no solution
Because both lines are parallel and never intersect at any point