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Slope Explanation for Passing Lines

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Can you do a step by step explanation of how to do these problems so I can understand them
find the slope of the passing line through each pair points
(4.3) (3,8)slope =
(-2,1)(6, -1)
write each equation in slope- intercept form (y=mx+b)
-7y=8x-3 y=
5x+4y=100 y=
write the equation of the line in point slope form[y-y to the 1st power =m(x-x to the 1st power )] with the given slope that contains the given point slope=3,(4-8) equation
find the intercept (b) for the line y- intercept
which equation represents a direct variation 5y=2x x+5y=2 y=2/5x+2

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Solution Preview

find slope of the passing line through each pair points
(4.3) (3,8)
slope = (8 - 3) / (3 - 4) = -5
(-2,1)(6, -1)
slope = (-1 - 1) / (6 - (-2)) = -1/4

Note: For any two points (x1, y1) and (x2, y2), the slope of the line passing through the two points is (y2 - y1) / (x2 - x1)

write each ...

Solution Summary

A slope explanation for passing lines are determined.