Determine the slope of a line that makes an angle of 5pi/4 radians with the x-axis.

Check the picture.

π radians is the angle 180 degrees, so π/4 radians is 180°/4=45°.

to construct the angle  we can proceed as shown in the figure, that is, we open an angle equal to 5 half right angles.

We see that the line making the angle 5pi/4 is the same line making the angle pi/4 radians, that is 45 degrees.

A line making the angle 45 degrees with the x axis, has slope equal to 1. 

Remark, we have considered a line passing through the origin, as it represents all other lines making 5pi/4 radians.

slopi=1

Abit confused about what you mean, but i think you might be referring to slope intercept form: y = mx + bin that case b, or the y intercept is already given.(0,-1)find the slope by using the formulay2 - y1/x2 - x1the final slope will be 4/2, equivalent to 2.now your equation should look like thisy = 4/2x -1sorry if this didn’t you out!