A line passes through the points ( − 16 , 14 ) and ( 8 , 35 ) . Calculate the slope of the line - simplify answer if possible. (

Question

3 years ago

6

If the slope is undefined, enter "DNE") Then, write the equation of the line.

1 answer:

REY [17] · Answer 1 · 2022-02-24T15:29:07+03:00

REY [17]3 years ago

7 0

Given two points $(x_1,y_1),\ (x_2,y_2)$ , the slope of the line connecting them is defined as

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}$

In your case, the points are

$(x_1,y_1)=(-16,14),\ (x_2,y_2)=(8,35)$

Plugging these values in the slope formula gives

$m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{35-14}{8-(-16)}=\dfrac{21}{24}=\dfrac{7}{8}$