Question

Maricella plots two ordered pairs on the grid below.

Answer 1

Answer:

B. $(0,-10)$

Step-by-step 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).

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{6-2}{8-6}$

$m=\frac{4}{2}$

$m=2$

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.

Answer 2

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)