Question

Find the equation of the linear function represented by the table below in slope intercept form

Answer 1

the slope is "1"

the y-intercept is "5"

y = x + 5

Explanation:

In order to find the slope, we use the slope formula with any pair of points, for example: (1, 6) and (3, 8):

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

in our case:

slope = (8 - 6) / (3 - 1) = 2/2 = 1

then the slope is "1".

Now we write the general "slope-intercept" equation of a line using the slope we found:

y = m x + b

y = 1 x + b

and now use one of the points (for example (3, 8) to find the intercept "b":

(8) = 1 (3) + b

8 - 3 = b

b = 5 (y intercept)

Then the equation of the line can be written as:

y = x + 5