Find the value of x so that the line passing through the points (2,3) and (x,6) has a slope of 3/4

The Answer is that X = 10

Step-by-step explanation:

Given Points: (2, 3) and (x, 6)

Given Slope, m = 3/4

Use the Point Slope form and solve for x:

y - y1 = m(x - x1)

3 - 6 = 3/4(2 - x)

-6 = 6/4 - 3/4x

-6 - 6/4 = -3/4x

-24/4 - 6/4 = -3/4x

30/4 = -3/4x

(-4/3)(30/4) = x

-120/12 = x

10 = x

Proof:

m = y - y1/(x - x1)

m = 3 - 6/(2 - 10)

m = -6/-8

m = 3/4

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