Question

Find the value of k if it is known that the line y=kx+2 goes through point P (−7, 12)

Answer 1

k = -10/7

Explanation:

1. Plug in (x,y)

2. You would get -7k+2=12

3. If you solve for k, you would get:

-7k = 10

k= -10/7

Hope this helped some people, and have a great day!

Answer 2

Hey there!!

What is slope-intercept form ?

Ans :- y = mx + b

Where ' m ' is the slope and ' b ' is the y-intercept.

Equation given :- y = kx + 2

Now, we know k is m or the slope and 2 y-intercept.

y-intercept can be given as a coordinate.

Hence, y - intercept 2 can be written as ( 0 , 2 )

Now we have 2 coordinates, ( 0 , 2 ) and ( -7 , 12 )

How do we find slopes ?

Ans :- Slope =
`(y2- y1 )/(x2-x1)`

Plugging in the values :

Slope =
`(12-2)/(-7-0)`

Slope =
`(-10)/(7)`

Hence, the value of 'k' is
`(-10)/(7)`

Hope my answer helps!