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

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 =

Plugging in the values :

Slope =

Slope =

Hence, the value of 'k' is

Hope my answer helps!

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation: