How do you find how far away a point is from a line?

Subtract the value of the line to the x-value of the given point to find the distance.

What is the distance between the straight lines 3x 4y 9 and 6x 8y 15?

Hence the distance between the lines 3x+4y=9,6x+8y=15 is 0.3.

How do you find the distance between two non parallel lines?

Formula of Distance If there are two points say A(x1, y1) and B(x2, y2), then the distance between these two points is given by √[(x1-x2)2 + (y1-y2)2].

What is the distance between two lines 3x 4y 8 and 6x 8y 15 0?

Hence the distance between parallel lines is 12.5 units.

What is the distance of the point 5/12 from the origin?

So, the distance between the origin and the point given is 13 units.

How to find the shortest distance between a point and line?

To find the shortest distance between a point and a line with given equation, you need first to find the equation of the line passing through the point P (-1, 3) and is perpendicular to the given line 3x – 4y = 10. Solve both equations, of the given line and the perpendicular, simultaneously to find the point of intersection, say Q (x, y).

What is the perpendicular distance from the point x1 to the line?

We know that the perpendicular distance from the point (x 1, y 1) to a line ax + by + c = 0 is given by d = | (ax 1 + by 1 + c 1 )/√ (a 2 + b 2 )| Hence option (2) is the answer. Was this answer helpful?

What is the equation of a straight line?

Equation of straight line is 3x + 4y + 4 = 0 We know that the perpendicular distance from the point (x 1, y 1) to a line ax + by + c = 0 is given by d = | (ax 1 + by 1 + c 1)/√ (a 2 + b 2)| Here a = 3, b = 4, c = 4, x 1 = 1, y 1 = 2 So d = | (3 + 8 + 4)/√ (3 2 + 4 2)|

How do you find the foot of the perpendicular of a line?

(ii) the equation of the line that has this slope and passes through the point P (x0, y0). That is y-y0 = m2 * (x-x0). This is the perpendicular from P to the given line. (iii) The point of intersection of the line and the perpendicular. This is the foot of the perpendicular from There are at least 3 ways to answer this question.