What is the y-intercept of the line perpendicular to the line y = three fourthsx + 3 that includes the point (3, 1)? negative five fourths

3

negative thirteen fourths

5

(D)5

Step-by-step explanation:

Given a line:

Comparing with the slope-intercept form y=mx+c

Slope, m

Definition: Two lines are perpendicular if the product of their slopes equals -1.

Therefore, the slope of a line perpendicular to the given line

Therefore, a line that is perpendicular and passes through the point (3,1) is:

Comparing with the slope-intercept from: y=mx+c

The y-intercept of the perpendicular line is therefore 5.

The correct option is D.

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".