Hi Lala L
A quick thought is that you have a line with a steep positive slope that goes up versus a wave that oscillates up and down, that said they have at least one chance of meeting. Plus a quick check of the intercepts for your line (0,1) and (-0.167,0) versus (-3.14, 0) and (0,0) where the sine wave is in the same general area as the line.
Do consider the information below relative your graphs
If you are familiar with then sine function you probably know that for 90, 180, 270 degrees it can be 1, 0, -1 and you have a multiple this would mean five times those values instead of one, you will have (5, 0, -5).
For your line
y = 6x + 1
Your line has (0,1) and (-0.167,0) as y and x intercepts respectively and your graphs don’t meet there
Since both graphs equal y, you need to find out when
6x + 1 = 5 sinx
Or
(6x + 1)/sin(x) = 5
Keep in mind that you are dealing with numbers so your angles should be expressed in radians not degrees for this calculation the sine wave should meet the line once based on the calculation above. They meet at about x = -0.71 radians
Of course you can graph them on the same grid at desmos.com
I hope this helps
