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 )

             (Product of two same signs is positive)

                   (Add: )

                     (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

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

– 2 = 2 + b                            (Product of two same signs is positive)

– 2 – 2 = 2 – 2 + b               (Subtract 2 from each side)

– 2 – 2 = b                            (Apply additive inverse property: 2 – 2 = 0)

b = – 4                                  (Subtract: – 2 – 2 = – 4)

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) + (–4)                   (Substitute –1 for m and –4 for b)

y = –x – 4                            (Product of two different signs is negative)

The function is y = –x – 4.