Question

Please give a proper explanation of this question. I don't understand how to answer it! (Doing some practice problems and they make no sense, the videos are really bad)

Answer 1

When you write a line in the
`y=mx+q`,
`m` is the slope of the line, and
`q` is the y-intercept, i.e. the y coordinate of the point
`(0,y)` belonging to the line.

The line passes through the point
`(0,2)`, so
`q=2`. As for the slope, we consider two points belonging to the line, and compute the following ratio:

`m = (\Delta y)/(\Delta x) = (y_2-y_1)/(x_2-x_1)`

The two highlighted points are
`(1,3)` and
`(4,6)`

So, the slope is

`m = (\Delta y)/(\Delta x) = (y_2-y_1)/(x_2-x_1) = (6-3)/(4-1) = 1`

The equation is thus
`y=x+2`