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 = [tex]\frac{y2- y1 }{x2-x1}[/tex]
Plugging in the values :
Slope = [tex]\frac{12-2}{-7-0}[/tex]
Slope = [tex]\frac{-10}{7}[/tex]
Hence, the value of 'k' is [tex]\frac{-10}{7}[/tex]
Hope my answer helps!
