Question

.___________________.
.___________________.

Answer 1

Answer:

(0, 127.85714285714)

Step-by-step explanation:

To find the y-intercept of the line, you need to find the equation of the line first.

The format of an equation of a line is: y = mx + c where m is the slope and c is the y-intercept (which is what we want to find).

Slope = $\frac{rise}{run}$

          = $\frac{-98-(-117)}{-27-36}$

          = $\frac{-98+117}{-27-36}$

Slope = $\frac{19}{-63}$

Thus, the slope of a line is -$\frac{19}{63}$.

To find the y-intercept, we just have to put in the slope of the line in an ordered pair.

y = mx + c

-117 = -$\frac{19}{63}$(-36) + c

-117 = 10$\frac{6}{7}$ + c

c = -117 - 10$\frac{6}{7}$

c = -127$\frac{6}{7}$

Thus, the y-intercept of a line is (0, -127$\frac{6}{7}$ ).

PS: Since it's a fraction, I'm not too sure how you would want to present it. Below are the different forms of the same answer. Depending on your question, you can choose the most appropriate form to take.

The mixed number form is: -127$\frac{6}{7}$

The improper fraction form is: -$\frac{895}{7}$

The decimal form is: -127.85714285714

Answer 2

Can you make the question a little shorter