You can put this solution on YOUR website! slope between those two points is change in y/change in x, or 3/2
point slope formula y-y1=m(x-x1), m slope, (x1, y1) one of the points
y+2=(3/2)(x+1), notice the signs
y+2=(3/2)x+3/2
y=(3/2)x-1/2
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same thing
y-7=3(x-4)
y=3x-12+7
y=3x-5
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change the sign in front of the h and it is the x-value of the vertex (the y-value is k)
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the function is moved down 2 units and is much narrower (compressed), increasing three times as rapidly.
Use the Two-Point form of an equation of a straight line.
Where and are the coordinates of the two given points. Note that this gives you an equation of the desired line. It is impossible to write the equation of this line, because for any line that is not orthoganal to the axes, there are a multitude of ways to represent an equation that models the line. You need to check with your instructor regarding the desired final form of the equation.
John
My calculator said it, I believe it, that settles it
