Question

Graph the line that contains the point (-3,-3) that is perpendicular to the line that contains the points (-5,-1) and (-1,-3).

Answer 1

To graph a line that is perpendicular to another line, find the negative reciprocal of the slope of the given line and use the point-slope formula to find the equation of the perpendicular line.

Step-by-step explanation:

To graph a line that is perpendicular to another line, we need to find the negative reciprocal of the slope of the given line.

The slope of the given line passing through (-5,-1) and (-1,-3) can be found using the formula (y2-y1)/(x2-x1).

After finding the slope of the given line, we can then find the negative reciprocal of the slope to determine the slope of the line that is perpendicular to it.

Using the point-slope formula with the coordinates (-3,-3) and the negative reciprocal slope, we can then find the equation of the perpendicular line. Finally, we can graph the line using the equation.