Graph the line with the given point and slope.

The line through​ (0,0) with slope 3/2. Answer in two coordinates.

1 answer

To graph the line through the point (0,0) with a slope of 3/2, we can first plot the given point (0,0) on the coordinate plane.

Next, we can use the slope, which is rise over run, to find another point on the line. Since the slope is 3/2, this means that for every 2 units we move horizontally to the right, we need to move vertically up 3 units.

Starting from the point (0,0), we can move 2 units to the right to reach the point (2,0) and then move up 3 units to reach the point (2,3).

We now have two points on the line: (0,0) and (2,3).

Plotting these two points and drawing a straight line through them will give us the graph of the line.

The graph of the line through​ (0,0) with slope 3/2 is: