First find the slope of the line .

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

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 = 5.

The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.

First find the y-intercept value.

             (Substitute 5 for m)

      (Substitute 1, for x, y)

Apply subtraction property of equality: If a = b than a c = b c.

Subtract 5 from each side.

.

Substitute 5 for m and for b in the Slope-intercept form line equation.

.

The line equation in slope-intercept form is .