Question

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

Answer 1

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 = $\frac{y2- y1 }{x2-x1}$

Plugging in the values :

Slope = $\frac{12-2}{-7-0}$

Slope = $\frac{-10}{7}$

Hence, the value of 'k' is $\frac{-10}{7}$

Hope my answer helps!