Answer: Carmen is correct. Explanation: See solution.
Practice makes perfect
To answer this question, we will find the equation of the requested line by ourselves and compare it to the answers Carmen and Chaise obtained. To do so, we will use the point-slope form of a line.
y- y_1= m(x- x_1)
Here, m is the slope and ( x_1, y_1) is a point on the line. Let's start by finding the slope.
Finding the Slope
If two lines are perpendicular, their slopes m_1 and m_2 are opposite reciprocals.
m_1 * m_2 = - 1
Since the given line is written in slope-intercept form, we can identify its slope.
y=1/3x+2
Knowing that the slope of the given line is m_1=13, we will use the opposite reciprocal equation to find the value of m_2, the slope of the requested line.
The equation of the perpendicular line to y= 13x+2 through (- 3,5) is y=- 3x-4. Therefore, Carmen is correct. Note that Chase's error was using the incorrect slope, he used 3 instead of - 3.
