SOLUTION: Given the point (-2, -1 and a slope of 3/2 find the equation of the line having this slope and point This is confusing me!!!!!!!!! lackinmath

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Question 63270: Given the point (-2, -1 and a slope of 3/2 find the equation of the line having this slope and point
This is confusing me!!!!!!!!!
lackinmath
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
First, you must be convinced that knowing
1) a point
2) the slope
of a line determines that line, and therefore
the equation of the line.
First imagine the x-y co-ordinates
Then imagine the x-y plane FILLED with lines of a certain
slope, say 3/2.
Now convince yourself that saying "I only want the line
that goes through the point (-2,-1) eliminates all other lines but one.
Convinced? OK
point-slope formula is

where m = slope
and (x[1], y[1]) = (-2,-1)

multiply both sides by 2

multiply both sides by x+2

now check it
It does have slope = 3/2, since it's in the form
y = mx + b
Does it go through (-2,-1)?

OK