5 AFind the slope of the line through the points 6 2 and 9 2

5) A)Find the slope of the line through the points (6, -2) and (9, 2).

B)Write in point-slope form the equation of the line through the two points given in step a.

C) Convert the equation that you wrote in step b to slope-intercept form.

D) Convert the equation that you wrote in step b to standard form, where A, B, and C are integers and A > 0.

Solution

(6, -2) and (9, 2)

a) slope , m = ( 2-(-2) )/(9 -6) = 4/3

b)Point slope form : y -y1 = m(x-x1)

y -2 = (4/3)(x-9)

c) y -2 = 4x/3 - 12

y = 4x/3 -10   ( slopeinterecpt form)

d) Standard form :Ax +By = C

y -2 = (4/3)(x-9)

3y -6 = 4x -36

4x -3y = 30

5) A)Find the slope of the line through the points (6, -2) and (9, 2). B)Write in point-slope form the equation of the line through the two points given in step

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