Mrs. Shaw writes this equation on the board. She asks the students to find the solution.
-40 – 2/3m + 3) = 7m - 2
a. Keith's work is shown below. What mistake did Keith make?
- 40 - 6m + 1 = 7m - 2

-39-6m = 7m - 2
-39 = 13m - 2
-37 = 13m
-2-
m
b. What is the solution of the equation?

not questioning mrs. shaw like, how you a whole teacher and your asking keith to solve a problem as if you don't know how to do it yourself

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0