The equation y - mx represents - - where- nbsp-m- 0-a line parallel to x-axisa line parallel to y-axisa line passing through nbsp-the origin nbsp-a line cutting x-axis at the point -m- 0-

The correct option is C a line passing through nbsp;the originGiven equation: y = mx Substituting x = 0, y = m × 0 = 0 So, if x = 0, then y = 0. i.e, (0, 0) ...

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Byju's Answer

Standard VIII

Mathematics

Graphical representation of a linear equation in 2 variables

The equation ...

Question

The equation $y = m x$ represents ___ ;
where, $(m \neq 0)$ .

a line parallel to x-axis

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a line parallel to y-axis

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a line passing through the origin

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a line cutting x-axis at the point

(m, 0)

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Solution

The correct option is C a line passing through the origin
Given equation: $y = m x$
Substituting $x = 0$ ,
$y = m \times 0 = 0$
So, if x = 0, then y = 0.

i.e, $(0, 0)$ is a point on the line.
Therefore, the line passes through the origin.

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Similar questions

Q. x + 3 = 0 is the equation of a line
(a) parallel to the x-axis and passing through (−3, 0)
(b) parallel to the y-axis and passing through (−3, 0)
(c) parallel to the y-axis and passing through (0, −3)
(d) None of these

Q. The equation

y = m x

represents ___ ;
where,

(m \neq 0)

Q. The equation

y = m x

represents a line passing through origin;
where,

(m \neq 0)

Q. Find the equation of line which passes through a point where line given by

\frac{x - 1}{- 1} = \frac{y - 2}{3} = \frac{z - 4}{6}

cuts the x-axis and parallel to the line

\frac{x}{2} = \frac{y + 1}{3} = \frac{z - 2}{4}

Q. The equation

(y - 1) = m (x - 2)

represents a family of lines passing through

(2, 1) .

But this equation does not include the line

x - 2 = 0,

since the slope of the line is not defined. A line

y = m x

through

(0, 0)

cuts the lines

x + y = 3

and

x + y = 5

at two distinct points A and B respectively.

A B = d

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The equation y=mx represents ___ ; where, (m≠0).

The correct option is C a line passing through the originGiven equation: y=mx Substituting x=0, y=m×0=0 So, if x = 0, then y = 0. i.e, (0,0) is a point on the line. Therefore, the line passes through the origin.

The equation $y = m x$ represents ___ ;
where, $(m \neq 0)$ .

The correct option is C a line passing through the origin
Given equation: $y = m x$
Substituting $x = 0$ ,
$y = m \times 0 = 0$
So, if x = 0, then y = 0.

i.e, $(0, 0)$ is a point on the line.
Therefore, the line passes through the origin.