Question

HELP

Describe and correct the error a student made when graphing the linear equation y = - 6.

Answer 1

Answer is (4.9) that would be the correct answer have a good day!!!

Answer 2

The error is in computing the y intercept. It should be at (0, -6) not (0, 6)

Explanation:

The equation of the line is

`-(3)/(4) x - 6`

y intercept is at point x = 0

When x = 0,

`y = -(3)/(4) x - 6\\\\y = 0 - 6 \\\\y = -6`

So y intercept is at point (0, -6)

If we plot a second point 3 units down and 4 units right we should get the point 0 + 4, -6 - 3) = (4, -9)

Plugging this into the original correct equation satisfies the equation

`y = -(3)/(4) x - 6\\\\y = -(3)/(4) (4) - 6 \\\\y = -3 -6 = -9 \\\\`

So we can see that the line does pass through (4, -9)

See attached graph for further clarification