Asked by Amy
                Find the slope-intercept form of the line given that x=-2+3t y=4-6t.
            
            
        Answers
                    Answered by
            Reiny
            
    x=-2+3t , y=4-6t
solve each one for t
x = -2 + 3t
3t = x+2
t = (x+2)/3
in the same way:
t = (4-y)/6
then: (x+2)/3 = (4-y)/6
cross-multiply
6x + 12 = 12 - 3y
simplify and arrange into the form requested
    
solve each one for t
x = -2 + 3t
3t = x+2
t = (x+2)/3
in the same way:
t = (4-y)/6
then: (x+2)/3 = (4-y)/6
cross-multiply
6x + 12 = 12 - 3y
simplify and arrange into the form requested
                    Answered by
            henry2, 
            
    m = Y/X = (4-6t)/(-2+3t) = -2(-2+3t)/(-2+3t) = -2.
Y = mx+b
4-6t = -2(-2+3t)+b
4-6t = 4-6t+b
b = 0.
Y = -2x+0
Y = -2x.
    
Y = mx+b
4-6t = -2(-2+3t)+b
4-6t = 4-6t+b
b = 0.
Y = -2x+0
Y = -2x.
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