which value of r gives the line passing through (3,2) and (r-4) a slope of 3/2?

Answer 1

Surely, your points are (3, 2) and (r, -4)..??

Slope => (-4 - 2)/(r - 3) = 3/2

i.e. 2(-4 - 2) = 3(r - 3)

so, -4 = r - 3

Hence, r = -1

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Answer 2

2 - (-4)

______   = 3/2     r = -1

3 - r

Answer 3

I only remember the Slope Intercept form y =mx + b

Sub in (3 , 2) to determine 'b':

2 = 3/2(3) + b

2 = 9/2 + b

b = 2 -9/2

b = 4/2 - 9/2

b = -5/2

Now sub in (r -4)

-4 = 3/2(r) -5/2

and solve for r

-4 + 5/2 = 3/2 r

etc

r = -1