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

and b is the y-intercept.

Identify the slope. The slope is –2.

Find the y-intercept value by substituting the slope and the coordinates of the

given point in the equation.

y = mx + b                         (Slope-intercept form line equation)

               (Substitute –2 for m, 5for x, and -5 for y)

                   (Multiply: )

  (Add 10 to each side)

  (Apply commutative property of addition: a + b = b + a)

                      (Apply additive inverse property: )

                                 (Add: )

Now substitute the values of slope ‘m’ and y-intercept ‘b’ in slope intercept

form line equation.

y = mx + b                        (Slope-intercept form line equation)

                 (Substitute –2 for m and 5 for b)

                     (Product of two different signs is negative)

The equation of the line that passes through the point (5, 1) and has

a slope of –2 is .