Question

PLEASE HELPP !

The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the system of equations that has the solution which corresponds to a point at (6, -2)?

A. 1/3x + 3y = 4
B. 1/3x + 4y = -4
C. 1/3x + 2y = -2
D. 1/3x + 2y = 2

Answer 1

C. 1/3x + 2y = -2

Explanation:

Using the point slope form of an equation

y-y0 = m(x-x0)

Get the slope m

Get the x and y intercept of the equation

Using the expression 1/3x + 2y = -2

x intercept occurs at y = 0

1/3x + 0 = 2

1/3 x = 2

x = 3 * 2

x = 6

y intercept occurs at x = 0

0+ 2y = 2

2y = -2

y = -1

Hence the required equation is C. 1/3x + 2y = -2