Question

The distance between the lines 3x - 1 = 0 and x +3=0 is
units.​

Answer 1

Answer:

10/3, 3 1/3 or 3.333(approximately)

Solution:

Equation of one line: 3x-1=0 ………………………………………………(1)

Equation of second line: x+3=0 .…………………………………………(2)

Since the equations (1) and (2) are of first degree, they represent straight lines. Further, their y-coordinates being zero (0), they are straight lines parallel to the y-axis.

Simple solution of (1) gives

x=1/3

and (2) gives

x=-3

Thus (1) is the straight line that lies entirely in the first quadrant and meets the axis of x at 1/3 and the second straight line lies entirely in the second quadrant and meets the negative x-axis at -3. The distance between (1) and (2) is the distance between the two points (1/3, 0) and (-3, 0) on the x-axis.

Distance between the two points

=|-3–1/3| or 1/3 -(-3)

= 3+1/3

=10/3 or 3 1/3 or 3.333(approximately).

∴ Distance between the lines (1) and (2)

=10/3 or 3 1/3 or 3.333(approximately)

Step-by-step explanation:

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