Find the equation for the line passing through the points (3,-9) and (4,-10)

y = - x - 6

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,-9) and (4,- 10)

y2 = - 10

y1 = - 9

x2 = 4

x1 = 3

Slope,m = (- 10 - - 9)/(4 - 3) = - 1/1 = - 1

To determine the intercept, we would substitute x = 4, y = - 10 and m = - 1 into y = mx + c. It becomes

- 10 = - 1 × 4 + c

- 10 = - 4 + c

c = - 10 + 4

c = - 6

The equation becomes

y = -x - 6

answer: what equations are there

step-by-step explanation:

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".