Question

Which equation shows y = -1/2x + 4 is in standard form?

Answer 1

For this case we have that by definition, the standard way to write the equation of a line, is given by:

$ax + by = c$

Where a, b and c are integers.

Given $y =-\frac{1}{2}x+ 4$

We can write it in the standard way:

$\frac{1}{2}x+ y = 4$

$a=\frac{1}{2}$ and by the previous definition, the numbers a, b and c must be integers.

Thus, we multiply the equation by 2, on both sides so as not to alter the equality.

$2*\frac{1}{2}x+ 2 * y= 2 * 4$

$x + 2y = 8$

Thus, the equation of $y =-\frac{1}{2}x+ 4$ , in its standard form is given by:

$x + 2y = 8$

Answer:

Option B

Answer 2

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