Question

What is the Equation of the graphed line in point slope form ​

Answer 1

Answer:

y + 3 = (2/3)(x + 3)

Step-by-step explanation:

We can read the y-intercept directly from the graph:  (0, -1).  Another point on this line is (3, 1).  As we move from the point (0, -1) to the point (3, 1), x increases by 3 and y increases by 2.  Thus, the slope of this line is

m = rise / run = 2/3.

Starting from the general point-slope form of the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope, we get:

y - [-3] = (2/3)(x - [-3]), or    y + 3 = (2/3)(x + 3)