Question

The graph of equation y=4x is a line​

Answer 1

Given :- The graph of equation y = 4x is a line ………………..*

1) parallel to x-axis

2) parallel to y-axis

3) perpendicular to y-axis

4) passing through the origin .

Answer :- 4) Passing through the origin .

Explantion :-

Put x = 0,

→ y = 4 * 0 => y = 0,

put x = 1,

→ y = 4 * 1 => y = 4

so, graph of equation y = 4x passes through (0,0) and (1,4) .

from image we can conclude that, the graph of equation y = 4x is passes through origin(0,0) .

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Answer 2

SOLUTION

TO DETERMINE

The graph of equation y = 4x is a line

CONCEPT TO BE IMPLEMENTED

The equation of any line in slope-intercept form is

y = mx + c

If the line passes through origin (0,0) then

0 = 0 + c

Which gives c = 0

So the equation of the line $\sf{pas sing}$ through the origin is of the form y = mx

EVALUATION

Here the given equation of the line is

$\sf{y = 4x}$

So the equation is of the form y = mx

So the line passes through the origin

Graph : Graph is referred to the attachment

FINAL ANSWER

The graph of equation y = 4x is a line passing through the origin (0,0)

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