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A table of values of a linear function is shown below.

A table of values of a linear function is shown below.-example-1
User Qollin
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1 Answer

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Given that we have a set of known points, we can take two of them to calculate the slope of the line as follows:

m = (y1 - y2) / (x1 - x2)

Let (x1 , y1) = (0, -3) and (x2 , y2) = (-1, -2) (First two points in the table), then:

m = (y1 - y2) / (x1 - x2) = [-3 + 2]/[0 - (-1)] = -1/1 = -1

Using the point-slope equation, we can write:

y - y1 = m(x - x1), then

y - (-3) = (-1)(x - 0) = -x

which can be written as:

y = -x - 3 (Equation of the line)

The intercept, we can obtain its value by setting x = 0, then the intercept is:

b = -3.

User Amin Abdolrezapoor
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