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)

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

                   (Apply 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 .