Question

Find the equation of the line.
Use exact numbers.
y =

Answer 1

Answer: y=2x+4

Explanation:

Our y-intercept is 4 since we see x=0 when (4,0)

To find our slope, we can choose two points on the graph and do rise/run.

Two points chosen: (1,6) and (2,8)

`(8-6)/(2-1) \\= 2`

Answer 2

The equation of the line is y=2x+4

Explanation:

The equation of the line is expressed in slope-intercept form.
y=mx+b
m is slope
b is y-intercept

The slope of the equation is 2 since the line rises 2 and over 1, defined as 2/1 or 2.

The Y-Intercept is 4 since that's the only point where the line crosses the y-axis.

If we plug these two numbers into the formula:

The equation of the line is y=2x+4