Question

A line has a positive slope that is an integer less than 4. It contains the point (1,2). It has a y-intercept that is below the origin. Find the equation of the line in slope-intercept form.

Answer 1

y = 2x

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

If a y-intercept is below origin, then b = 0. Therefore we have the equation:

`y=mx`

Put the coordinates of the point (1, 2) to the equation:

`2=1m\to m=2`

Therefore:

`y=2x`