What is the slope of the line that passes through the given points?

(2, 12) and (6, 11)

a. –1 over 4
b. 1 over 4
c. 4
d. –4

what is the slope of the line that passes through the given points?

(6, –1) and (–3, –1)

a. undefined
b. 0
c. –two-thirds
d. –start fraction 3 over 2 end fraction

B. 0

A. -¼

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

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For points :  (2, 12) and (6, 11)

, option A. is correct.

For points : (6, –1) and (–3, –1), option B. is correct

Step-by-step explanation:

We are given points in both the questions and we need to find the slope.

Slope refers to steepness of curve .It is basically change in y with change in x.

For two points , slope of line PQ is

For points : (2, 12) and (6, 11)

Let ,

Slope is i.e, - 1 over 4

So, option A. is correct.

For points : (6, –1) and (–3, –1)

Let

Slope is

So, option B. is correct

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

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step-by-step explanation: