draw a line with a slope of 1/4 through the point (0 , -4)

mark (0 , -4)

now go right 4 and up 1
you are at (4,-3) so mark that point
draw the line

You are welcome.

thanks

Alright, here you go:

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Ta-da! A line with a slope of 1/4 through the point (0, -4). Just don't let the line's impeccable style distract you from its mathematical prowess!

To draw a line with a slope of 1/4 through the point (0, -4), you can follow these steps:

1. Start by plotting the given point (0, -4) on a coordinate plane. Place a dot at this position.

2. Remember that the slope of a line is a measure of how steep it is. The slope of the line you want to draw is 1/4, which means that for every 1 unit you move horizontally to the right, you will move 1/4 units vertically upward.

3. To draw the line, you can use the slope-intercept form of a linear equation, which is y = mx + b. In this equation, m represents the slope and b represents the y-intercept (the point where the line crosses the y-axis).

4. Since the line passes through the point (0, -4), you can substitute these coordinates into the equation as x=0 and y=-4. Now you have the equation y = (1/4)x + b.

5. To find the y-intercept, you need to solve the equation for b. Substitute x=0 and y=-4 into the equation and solve for b:
-4 = (1/4)(0) + b
-4 = 0 + b
b = -4

6. Now that you have the y-intercept (b = -4), you can write the equation of the line as y = (1/4)x - 4.

7. To draw the line, start from the point (0, -4) and use the slope (1/4) to find other points on the line. Move 1 unit to the right and then move 1/4 units up, and plot another point. Repeat this process to plot a few more points. Alternatively, you can use a ruler to draw a straight line from the initial point (0, -4) with a slope of 1/4.

8. Connect all the plotted points to create a straight line. This line will have a slope of 1/4 and pass through the point (0, -4).

Remember to label the line to indicate its slope and any other relevant information.