Question

Maricella plots two ordered pairs on the grid below.

Answer 1

The location of the y intercept is found by finding the equation of the line which is y=2x-10, therefore it is (0,-10)

Answer 2

B.
`(0,-10)`

Explanation:

We have been given an image of a line segment on coordinate plane. We are asked to find the y-intercept of line, is the line segment is extended to cross both the axes.

We will find the equation of line in slope-intercept form:
`y=mx+b`, where,

m = Slope of line,

b = The y-intercept.

We will find slope of our given line using the coordinates of our given points (6,2) and (8,6).

`m=(y_2-y_1)/(x_2-x_1)`

`m=(6-2)/(8-6)`

`m=(4)/(2)`

`m=2`

Now, we will substitute
`m=2` and coordinates of point (8,6) in slope-intercept form of equation.

`6=2*8+b`

`6=16+b`

`6-16=16-16+b`

`-10=b`

Since y-intercept of our given line is
`-10`, which is at
`x=0`, therefore, option B is the correct choice.