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Vedmedyk [2.9K]
3 years ago
12

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

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

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

<u>-2x     </u> <u> -2x</u>

      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. <em>count 2 units down and 1 unit to the right </em>= (1, 6).

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= x/4 + 5 = 8

= x/4 = 8 - 5 ( transposing +5 from LHS to RHS changes +5 to -5 )

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