8. Parallel to the line y = 2x + 5 and contains the point (4, 5) in slope-intercept form.
Please help and show work .

Step-by-step explanation:

So we want to find an equation in slope-intercept form that is parallel to:

And contains the point (4,5).

So to create the equation, we will need to slope and the y-intercept.

First, recall that parallel lines have the same slope. Since we want our equation to be parallel to y=2x+5, this means that the slope of the new equation must be 2.

Now, we can use the point-slope form to solve for the y-intercept. The point slope form is:

Let (4,5) be x₁ and y₁. m is 2 since it's parallel to y=2x+5. Thus:

Distribute:

Add 5 to both sides:

And that's our equation :)

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".

stops on an even number.