How do you find the perpendicular distance from the origin to a line?

The distance formula can be reduced to a simpler form if the point is at the origin as: d = ∣ a ( 0 ) + b ( 0 ) + c ∣ a 2 + b 2 = ∣ c ∣ a 2 + b 2 . d=\frac { \left| a(0)+b(0)+c \right| }{ \sqrt { a^{ 2 }{ +b }^{ 2 } } } =\frac { \left| c \right| }{ \sqrt { { a }^{ 2 }{ +b }^{ 2 } } } . d=a2+b2 ∣a(0)+b(0)+c∣=a2+b2 ∣c∣.

What is the slope of a line that is perpendicular to a line whose equation is − 2y 3x 7?

1 Expert Answer Perpendicular lines have negative reciprocal slopes. The slope of a perpendicular line would be m = 2/3.

What is the slope of a line that is perpendicular to the line whose equation is 2y equals 3x minus one?

The equation will then be written as y=2/3x-1/3. Therefore, the slope of the line is 2/3.

How do you find the slope of a perpendicular line?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2.

How do you find the perpendicular distance from a given point?

The absolute value sign is necessary since distance must be a positive value, and certain combinations of A, m , B, n and C can produce a negative number in the numerator. Find the perpendicular distance from the point (5, 6) to the line −2x + 3y + 4 = 0, using the formula we just found. Here is the graph of the situation.

How do you find the equation with a slope of 2?

Since line p is perpendicular to line m, this means that the products of the slopes of p and m must be – 1: So we must choose the equation that has a slope of 2. If we rewrite the equations in point-slope form (y = mx + b), we see that the equation 2x – y = 3 could be written as y = 2x – 3.

How do you find the equation of a line with one point?

The first way is to solve for the equation of a line with one point and the equation of a line that runs perpendicular to it. The second way is to use two points from one line and one point from a perpendicular line. If a line runs perpendicular to another line, it means that it crosses it at a right angle.