Question

The graph of equation y=4x is a line​

Answer 1

The graph of equation y = 4x is a line passing through the origin.

EXPLANATION:

• Let us find two points on the straight line y = 4x and try to plot them on graph paper, and join them to draw the line.

• When x = 1, y = 4
• When x = - 1, y = - 4
• Thus we have two points (1, 4) and (- 1, - 4).

• Plot this points on graph papar and join them.

• Refer to the given attachment. The straight line passes through the origin.

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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