Explain how to write an equation in Point-Slope Form using the graph below.

Hey there!

This is requiring the equation of a straight line.

The point-slope form of a linear function is like follows:

y - y1 = m (x - x1) where y1 and x1 are a pair of coordinates, and m is the gradient of the straight line.

You can calculate the gradient, m, by doing change in y / change in x between two pairs of coordinates.

In this case, it would be (400-175)/(8-3) = 45.

From here, we just have to select one point, such as (3,175) and substitute it into the point-slope formula.

y - 175 = 45(x-3)

y - 175 = 45x - 135

y = 45x + 40

Since it says EXPLAIN, you just have to write the process in your own words. I would recommend including the mathematical calculation as well, just in case.