The slope of the line that passes through the points (7,w) and (4,-6) is 4/3. what is the vaule of w?

Slope is the change in y over the change in x, or

y2-y1/x2-x1

It doesn't matter which x and y coordinates we use as x1 and x2 as long as we are consistent with both. Since the x component in the slope = 3, we can see that they used 7-4, so for the y component we will use w - (-6)

w-(-6) = 4  (we set it to 4 because of the slope)
w+6 = 4
w = 4-6
w = -2

The missing point is -2

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