A graph has a its y-intercept at (0, 0) and it contains the points (2, 1) and (4, 2) and (5, 2.5) and (30, 15) what is the slope of the equation?

3 answers

To find the slope of the equation, we can use the formula for slope:

m = (y2 - y1) / (x2 - x1)

Let's take the points (2, 1) and (4, 2) to calculate the slope:

m = (2 - 1) / (4 - 2)
m = 1 / 2
m = 0.5

Therefore, the slope of the equation is 0.5.
ok, now what is the equation of the line?
To find the equation of the line, we can use the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept.

In this case, we already know the y-intercept is (0, 0), so we can write:

y = 0.5x + 0

Simplifying, we get:

y = 0.5x

Therefore, the equation of the line is y = 0.5x.