Question

Graph the line y=3x

Answer 1

The graph of the line y=3x is a straight line passing through the origin (0,0) with a slope of 3.

To graph this line, you can start by plotting a few points and then connecting them with a straight line.

Choose some values for x and calculate the corresponding y values using the equation y=3x.

For example:
- x = -2, y = 3(-2) = -6, so one point is (-2,-6)
- x = -1, y = 3(-1) = -3, so another point is (-1,-3)
- x = 0, y = 3(0) = 0, so the point is (0,0) (the origin)
- x = 1, y = 3(1) = 3, so another point is (1,3)
- x = 2, y = 3(2) = 6, so one more point is (2,6)

Plot these points on the coordinate plane and then draw a straight line passing through them.

The graph of y=3x is a straight line that passes through the points (-2,-6), (-1,-3), (0,0), (1,3), (2,6), and so on.