Question

Write the equation of the line that passes through the points (-8, 8) and (8,0), Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answer 1

Answer: y - 8= -1/2(x + 8)

Explanation:

The point slope form is:

`y-y_(1)=m\left(x-x_(1)\right)`

y = y coordinate of second point

y1 = y coordinate of point one

m = slope

x = x coordinate of second point

x1 = x coordinate of point one

To find the slope from the two coordinates, you use
`(y_2-y_1\\)/(x_2-x_1)`. That is the change in y over the change in x.

In this case, the slope is -8/16 which simplifies to -1/2.

Now we can plug in our numbers to put into point-slope form.

y - 8= -1/2(x + 8)

Answer 2

Point slope form is. y-y1 = m(x-x1)
The formula to calculate slope is m=(y2-y1)/(x2-x1)

First calculate the slope. Use (-8,8) as point 1 and (8,0) as point 2

m = (0 - 8)/(8 - -8)
m = -8/16
m = -1/2

Now let’s put point 1 and the slope into the point slope form

y - 8 = -1/2(x + 8)