The slope of the perpendicular line is
the negative reciprocal
. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.
What is slope of a perpendicular line?
Perpendicular lines have slopes that are
negative reciprocals of one another
. The given line’s slope is 5, which means that the slope of the other line must be its negative reciprocal.
How do you find the slope of a line perpendicular to the line passing through the given two points?
Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the
slope-intercept form (y = mx + b)
and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.
Which line is perpendicular to a line that has a slope of 1 3?
The slope of a line perpendicular to one with the slope of 13 is
−3
.
What is the slope of a line perpendicular to 6?
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is
zero
.
What is the slope of line a 1 3?
The slope of a line perpendicular to one with the slope of 13 is
−3
.
How do I find the slope of the line?
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run).
Divide
the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
What is the slope of m 6?
Using the slope-intercept form, the slope is
Undefined
. All lines that are parallel to m=6 have the same slope of Undefined .
What is the slope of a line perpendicular to Y =- 7 4x?
Using the slope-intercept form, the slope is
−74
. The equation of a perpendicular line to y=−7×4 y = – 7 x 4 must have a slope that is the negative reciprocal of the original slope. Simplify the result. Cancel the common factor of 1 1 and −1 – 1 .
What is a line perpendicular to Y 6?
Explanation: When lines are perpendicular, one slope is the negative reciprocal of the other. In
y=6x the gradient is 6
.
What is the slope of 3?
y=3 would be nothing more than a horizontal line through y=3. So the rise is always 0 (it never goes up or down) and the run is always the distance from zero to any point on the line. In other words, the slope would be
0/the change in x
, which is always 0.
What is a 1% slope?
1% as a decimal is
0.01
and hence the slope is 0.01. That means for a run of pipe of a certain length the rise must be 0.01 times the length. Thus for you example, since the length of the run is 80 feet which is 80 × 12 = 960 inches the rise must be 0.01 × 960 = 9.6 inches.
How does a slope look like?
The slope equals the rise divided by the run:
. You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.
What is the standard slope form?
The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line. When we have a linear equation in slope-intercept form, it’s easy to identify the slope of the line as the number in front of x. The standard form of a linear equation is
Ax + By = C.
