Line M is represented by the equation y = 2x – 10. Line K passes throughpoints (-6, 13) and (2, 9). What is the x-value of the solution to the system of equations?
(-6, 13) (2,9) are on K
Slope of K = (13-9) /( -6 - 2) = 4 / -8 = -1/2
Equation of K is
y =(-1/2) ( x -2) + 9
y = (-1/2) x + 1 + 9
y = (-1/2) x + 10
Set L = K
2x -10 =(-1/2)x + 10
2x + (1/2) x = 10 + 10
(5/2)x =20
x = 20 (2/5) = 8
