Question

The graph of the linear equation in two variables y = 5x is ____ a) a line parallel to x - axis b) a line passes through the origin c) a line parallel to y - axis d) not a straight line

Answer 1

Answer:

(c)

Step-by-step explanation:

Answer 2

Answer:

Hence the correct answer is option(b)

Step-by-step explanation:

Given,

The graph of the linear equation in two variables is y = 5x

Solution:

Since there is no constant term in the equation of the line, we can say that the line passes through the origin.

When we substitute the value x =0 in the equation y = 5x, we get y = 0,

which means (0,0) is a point in this line. Hence the line passes through the origin.

The other options are not correct, because

option(a) the equation of a line parallel to x-axis is y = a constant.

Here 5x is not a constant, hence option (a) is not correct

option(c) the equation of a line parallel to the y-axis is x = a constant.

Here y = 5x⇒x = $\frac{1}{5} y$. Since  $\frac{1}{5} y$.  is not a constant, and option(c) is not correct.

Option(d) The general equation of a straight line is y = mx+c, the given equation is of the form of a straight line, hence option (d) is not correct.

Hence the correct answer is option(b)

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