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, 5 for x, and 1 for y)

                            (Multiply: )

           (Subtract 10 from each side)

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

                           (Additive inverse property: a + b = b + a)

                              (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 2 for m and –9 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 .