Question

Match the graphs with their respective linear equations.


𝒙 + 𝒚 = 𝟐 𝒙 + 𝒚 = 𝟎 𝟒𝒙 + 𝟕𝒚 = 𝟐𝟖

Answer 1

(0, 4) and (7, 0) are the points on the first graph.
Now, we have to find the equation which is satisfied by these points.
The given points satisfy the equation 4x + 7y = 28.
The first graph is of the equation 4x + 7y = 28.

(-1, 3), (0, 2), and (2, 0) are the points on the second graph.
The given points satisfy the equation x + y = 2.
The second graph is of the equation x + y = 2.