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

What is the Equation of the graphed line in point slope form ​-example-1
User Phaedra
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Answer:

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

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)

User Muhit
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