The line equation in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Write the two functions as co-ordinates.

First find the slope

                  (Substitute )

                    (Subtract: 6 – 7 = – 1 and 4 – 2 = 2)

Next find the y-intercept

Substitute the slope and the coordinates of the given point in slope-intercept form equation.

y = mx + b

                (Substitute for m, 2 for x, and 7 for y)

                        (Cancel common terms)

7 + 1 = – 1 + 1 + b            (Add 1 to each side)

7 + 1 = b                            (Apply additive inverse property: 1 – 1 = 0)

b = 8                                  (Add: 7 + 1 = 8)

Finally write the line equation

Substitute the values of slope ‘m’ and y-intercept ‘b’ in slope intercept form line equation.

y = mx + b

                (Substitute for m and 8 for b)

                    (Simplify)

The function is .