Answer:
1/3 is the slope of the line that is perpendicular to y = -3x + 13.
Explanation:
Relationship between the slopes of perpendicular lines:
- The slopes of perpendicular lines are negative reciprocals of each other.
- This means we'll first need to identify the slope of y = -3x + 13 before we can find the slope of the other line.
Identifying the slope of y = -3x + 13.
y = -3x + 13 is in the slope-intercept form of a line, whose general equation is given by:
y = mx + b, where:
- m is the slope,
- and b is the y-intercept.
Finding the slope of the other line:
If we have two perpendicular lines and know one of the slopes, we can find the slope of the other line using the formula m2 = -1 / m1, where:
- m1 is the slope of the line we're given,
- and m2 is the slope of the other line.
Thus, we can find the slope of the other line by substituting -3 for m1 in the perpendicular slope formula:
m2 = -1 / -3
m2 = 1/3
Therefore, the slope of the other line is 1/3.