Question

Which graph represents the equation y equals one half times x plus 2?

Answer 1

Explanation:

y equals one half times x plus 2

i.e.

`y=(x)/(2) + 2\\\implies y - (x)/(2) = 2\\\implies (y)/(1) - (x)/(2) = 2\\ \implies (y)/(2) - (x)/(4) = 1\\`

Intercept form of a line equation, it's expressed as:

`\[(x)/(a) + (y)/(b) = 1\]`

Where:

-
`\(a\)` is the x-intercept, which is the point where the line crosses the x-axis.

-
`\(b\)` is the y-intercept, which is the point where the line crosses the y-axis.

So in our case, x and y intercepts are -4 and 2, so the correct choice is last one.