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The slope is -5/3.

The y-intercept is (0,10).

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Since -5/3 is in the place of m, the slope, that makes -5/3 the slope.

3. The y-intercept of a graph is the point where the graph intersects/crosses the y-axis. The x-coordinate of a point in any y-intercept will ALWAYS be 0.

4. Since 10 is in the place of b, the y-intercept, and given the information above, the y-intercept is (0,10).

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2