The graph of equation y=4x is a line
Answers
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.
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 through the origin is of the form y = mx
EVALUATION
Here the given equation of the line is
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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