how do i solve this problem:
Draw the angle in quadrant I whose terminal side is on y+4x
To draw the angle in quadrant I whose terminal side is on y + 4x, you can follow these steps:
1. Start by plotting the point (0, 0) on your coordinate plane. This point represents the origin.
2. Since the terminal side of the angle is on y + 4x, we can take the ratio of the coefficients to determine the slope of the line. In this case, the slope is 4/1, which means for every unit increase in x, the y-coordinate increases by 4.
3. Use this slope to find another point on the line. Since we know that (0, 0) is on the line and the slope is 4, we can go up 4 units and right 1 unit from the origin to get the point (1, 4).
4. Plot the point (1, 4) on your coordinate plane.
5. Now, draw a straight line passing through both points - (0, 0) and (1, 4). This line represents the terminal side of the angle in the first quadrant.
6. Finally, label the angle with the appropriate symbol, such as θ, to indicate that it is an angle.
Remember that angles in the first quadrant are always positive and measure between 0 and 90 degrees.
I assume you meant y=4x.
well, plot that line. at x=0, y=0, and at x=2, y=4
plot the points, connect them. That is the terminal side. The other side is the x axis, so you now have the angle.