Question

Graph the equation include aleast 3 ordered pairs
y=0.5x + 2

Answer 1

(2, 3)

(0, 2)

(-2, 1)

Explanation:

This equation is in slope-intercept form:

`y=mx+b`,

where
`m` is the line's slope, and
`b` is the y-coordinate of its y-intercept.

Using this knowledge, we can identify the following:

`m = 0.5 = (1)/(2)`

`b = 2`

Now, we can graph the line with a slope of 1/2 and a y-intercept at y = 2 (see the attached image).

But, even if we were not to graph it, we could still find integer points to the left and right of the y-intercept using the fact that:

`\text{slope} = \frac{\text{rise}}{\text{run}} = (\Delta y)/(\Delta x) = (1)/(2)`

So, we can say that the following points are on the line:

(0, 2) ← y-intercept

(0 + 2, 2 + 1) = (2, 3) ← point to the right

(0 - 2, 2 - 1) = (-2, 1) ← point to the left