4. Point-Slope Form
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What is the form of an equation in point-slope form?
An equation in point-slope form follows a specific format.
y- y_1= m(x- x_1)
In this format, m represents the slope and the point ( x_1, y_1) lies on the graph of the line. Observing the given equation, we see that it would only take a minor adjustment for it to be in point-slope form.
Now let's compare this equation with the general form of an equation in point-slope form. y- y_1&= m(x- x_1) y- (-5) &= -1(x-( -2)) From what we know, we can see that the given equation gives us the point ( -2, -5) and the slope -1. Using this point and the slope to determine another point on the graph, we will be able to sketch the graph of the line.