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 .

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 for m, –3 for x, and –11 for y)

                   (Multiply: )

  (Add to each side)

  (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  for m and for b)

                     (Product of two different signs is negative)

The equation of the line that passes through the point (–3, –11) and

has a slope of is .