Question

Find the distance from point A to the given line. Round your answer to the nearest tenth. y=-4x A(6,-2)
the distance is about ___ units.
PLEASE HELP WILL GIVE POINTS

Answer 1

Answer:

Find the distance between (-1, 1) and (3, 4).

This problem is solved simply by plugging our x- and y-values into the distance formula:

D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=

=16+9−−−−−√=25−−√=5

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:

(x1+x22,y1+y22)

Answer 2

Given :   point A ( 6 , - 2)  

line y = - 4x

To Find: distance from point A to the given line.

Solution:

Distance of point P (x₁ , y₁ ) from the line  Ax + By + C = 0

is given by

|  (Ax₁ + By₁ + C)/(√(A² + B²)) |

point A ( 6 , - 2)  

x₁= 6 , y₁ = - 2

y = - 4x

=> 4x + y = 0

A = 4 , B = 1 , C = 0

Distance = |  (4(6) + 1(-2) + 0)/(√(4² + 1²)) |

= |  (22)/ √17 |

= 22√17/ 17

= 5.3

distance from point A to the given line is about 5.3 units.

Learn More:

Find the coordinates of the midpoint of the line segment joining P(0,6) and Q(12,20).

brainly.in/question/4563388

If P (-1,1) is the midpoint of the line segment joining A(-3,b) and B (1 ...  

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