Write the equation in point slope form

The equation in point slope form is
y-4 = (1/2)(x -2).

The equation for point slope form is
y - y1 = m(x - x1)

The point on the graph is given as (2,4) so you can substitute that into the equation as

y - 4 = m(x - 2)

M represents the slope.

By looking at the graph, you can see that the y-intercept is (0,3). The slope is change in y / change in x or the rise/run. From (0,3) to (2,4).

Change in y = 4 - 3 = 1
Change in x = 2 - 0 = 2

Therefore the slope = 1/2 = m.

Substitute m in for the slope and the final equation in point slope form would be y-4 = (1/2)(x -2).

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