Answer:
.
Step-by-step explanation:
The slope-intercept form equation of a slanting line is in the form , where would be the slope of that line.
The equation of the original line is given in the slope-intercept form: . The slope of that line would thus be .
Two slanted lines in a plane are perpendicular to one another if and only if their slopes are inverse reciprocals.
In other words, if the slope of two slanted lines are and , those two lines would be perpendicular to one another if and only if .
In this question, the slope of the given line is . Rearrange the equation to find , the slope of the line perpendicular to the given line:
.
In other words, the slope of the line perpendicular to the given line would be .
If a line of slope goes through the point , the point-slope equation of that line would be .
In this question, the requested line goes through the point . It was also deduced that the slope of this requested line is be . The equation of this line in point-intercept form would be:
.
Rearrange to find the equation of this line in slope-intercept form:
.