Question

]What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (4, 6) and (−1, −4)?

Answer 1

Firstfind the slopeof the line that passes through (4,6) and (-1,-4) by using the slope formula \[\large m= \frac{y_2-y_1}{x_2 -x_1}\] What do you ge when \(\large (x_1, y_1) =(4,6) \ and \ (x_2,y_2)=(-1,-4)\) ?

Answer 2

Do you understand?

Answer 3

yes

Answer 4

Awesome :D

Once you find the slope between the two points (4,6) and (-1,-4),we're going to use that same slope to find the equation of the parallel line by using the slope intercept form.

Answer 5

ok

Answer 6

-10/-5

Answer 7

Guess we don't have to find the equation.

Answer 8

Yes and what does -10/-5 reduce to?

Answer 9

-2/-1

Answer 10

the negatives can cancel out with each other and 2/1 is the same as just 2 :)

Answer 11

ok thanks

Answer 12

\[\large\frac{-1}{-1} = 1\]

Answer 13

so the answer is (2,1)??

Answer 14

@Jhannybean

Answer 15

The slope is not a point, but rather a fraction or an integer. The slope tells us the rise/run,and that is represented to us in fraction form as 2/1. this means we're rising up 2 units, and going over 1. Accordingly, writing it as "2" means the same thing,the 1 is implied. by writing it as 2,we're stating the slope goes up 2, over 1.

Answer 16

thanks

Answer 17

Np.