Which of the following types of models is usually in the form of a drawing, graph, or equation?

You are given two points, (-1, 10) and (5, 8). You are required to find the equation in slope intercept form given the points. The equation of a slope intercept form is y = mx + b. Where m is the slope and b is the y-intercept. By definition, slope, m, is the rise over run or the difference of y over the difference of x.

m = y2-y1/x2-x1

Let us denote y2=8, y1=10, x2=5 and x1=-1 and we get

m = 8-10/5-(-1)

m = -1/3, a negative slope means it is rising to the left of the graph.

Since the slope passes the two points, it also passes the y-intercept. Choose one of the points, (-1, 10) and substitute it to y = mx + b.

y = mx + b

10 = (-1/3)(-1) + b

b = 29/3

The equation now is y = -1/3x + 29/3.

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