Question

Use the information on the graph to enter an equation in standard form.?​

Answer 1

Answer:

$y-8x=-8$ is the equation in standard form.

Step-by-step explanation:

Lets choose two coordinate point from the graph $(x_1,y_1) =(0,-8)$$(x_2,y_2)=(2,8)$.

Now we will try to find out its slope from point-slope form.

Slope (m) =$\frac{y_2-y_1}{x_2-x_1} =\frac{8-(-8)}{2-0}=\frac{16}{2} = 8$

No we will use $y-y_1 =m(x-x_1)$

So $y-8=8(x-2)\ , y-8=16x-16\ , y=16x-16+8$

Now this can be arranged in Ax+By=C form that is the standard form of a line.

Re-arranging the values.

We have $y-8x=-8$ as our equation in standard form.

Answer 2

Answer:

The required standard equation is $y = 8x -8$.

we took two points to write this equation (0,-8) and (2,8).

Step-by-step explanation:

Let $(0,-8) = (x1,y1)\\(2,8) = (x2,y2)$

The equation of line passing through two point is given as

$(y - y1) = \frac{y2-y1}{x2-x1} \times (x - x1)$

substituting (x1,y1) and (x2,y2) in above equation we get

$(y - -8) = \frac{8--8}{2-0} \times (x - 0)$

$(y + 8) = \frac{8+8}{2} \times (x)$

$(y + 8) = \frac{16}{2} \times (x)$

$(y + 8) = 8\times (x)$

$y = 8x - 8$

which is the required equation