Question

Helppppp Maricella plots two ordered pairs on the grid below.


-


No 0000


(8.67


(6,2)-


1 2


3


4


5


6


7 8


9


x


The line segment is extended to cross both axes. What is the location of the y-intercept on the line?


(0, -22)


(0-10)


(0.-5)


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Answer 1

Answer:

Option 2, i.e., (0,-10)

Step-by-step explanation:

Consider the below figure is attached with this question.

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

From the below graph it is clear that the line passes through the point (8,6) and (6,2).

$y-6=\frac{2-6}{6-8}(x-8)$

$y-6=2(x-8)$

$y-6=2x-16$

Add 6 on both sides.

$y=2x-10$

Substitute x=0 to find the y-intercept of the line.

$y=2(0)-10$

$y=-10$

The location of the y-intercept on the line is (0,-10). Therefore, the correct option is 2.

Answer 2

Answer:

B (0,-10)

Step-by-step explanation: