Question

Determine whether the equation 2x + y = 8 is linear. If so, graph the function.

Answer 1

It is linear because both variables have an exponent of 1. (FYI: one of the exponents can be 0 and still be a linear equation).

2x + y = 8

-2x     -2x

      y = -2x + 8   ⇒ slope (m) = -2 and y-intercept (b) = 8

plot the y-intercept (0, 8). then plot the next point by counting the rise over run from the y-intercept. count 2 units down and 1 unit to the right = (1, 6).