The equation is .

Find the y-intercept.

The y-intercept is the value of y, when x = 0.

                  (Substitute x = 0 in original equation)

                               (Apply Zero propduct property: )

Apply division property of equality: if a = b, then.

                          (Divide each side by 5)

                                    (Cancel common terms)

The y-intercept is 2, so the graph intersects the y-axis at (0, 2).

First find the slope of the line .

Rewrite the line in slope-intercept form y = mx + b, where m is slope and b is y-intercept.  

Apply subtraction property of equality: if a = b, then.

         (Subtract 2x from each side)

                           (Apply additive inverse property: )

                   (Divide each side by 5)

                         (Cancel common terms)

Compare the equation with slope-intercept form and find the slope of the line.

=

If two lines are perpendicular, the slope (m₁) of one line is opposite reciprocal of the second line slope (m₂). It can be represented as, .

Slope of the line perpendicular to given line is 

So, slope of the new line = .

Graph the line using given point and slope.

1.      Draw a coordinate plane.

2.      Plot the given point (0, 2).

3.   Find the next point using . Start at (0, 2) and go up 5 units and 2 units right, then mark a dot and label it.

4.   Draw a line through these points.

Graph of the line passing through the point (0, 2) and slope is