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 –5.

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 –5 for m, –4 for x, and 7 for y)

                            (Multiply: )

          (Subtract 20 from each side)

          (Commutative property: a + b = b + a)

                          (Additive inverse property: 20 – 20 = 0)

                            (Subtract: )

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 –5 for m and –13 for b)

                          (Product of two different signs is negative)

The Equation of the line that passes through the point (–4, 7) and has a slope

of –5 is .