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: 4 – 1 = 3 and 6 – 3 = 3)

m = 1                          (Cancel common terms)

Next find the y-intercept

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

y = mx + b

1 = 1(3) + b                (Substitute 1 for m, 3 for x, and 1 for y)

1 = 3 + b                     (Apply multiplicative identity property: )

1 – 3 = 3 – 3 + b        (Subtract 3 from each side)

1 – 3 = b                     (Apply additive inverse property: 3 – 3 = 0)

b = – 2                        (Subtract: 1 – 3 = – 2)

Finally write the line equation

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

y = mx + b

y = (1)(x) + (– 2)           (Substitute 1 for m and – 2 for b)

y = x – 2                        (Product of two different signs is negative)

The function is y = x – 2.