Find an equation of the line containing the given pair of points. (3,5) and (9,6) y- (simplify your answer. type your answer in slope-intercept form. use integers or fract

Step-by-step explanation:

The equation of a line passing through (a,b) and (c,d) is given by :_

The given points :  (3,5) and (9,6)

Then , the equation of a line passing through (3,5) and (9,6)  will be :-

Hence, the equation of the line in slope -intercept form :  

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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step-by-step explanation: