What are the given rates??
First, find the slope of the line using the formula for slope:
m = (y2 - y1) / (x2 - x1)
m = (4 - (-2)) / (-3 - 2) = -6/5
Then, use the point-slope formula using a point that you were given and the slope that you calculated.
y - y1 = m(x - x1)
y - 4 = (-6/5)(x + 3)
Then, simply get y alone.
y = (-6/5)x + 2/5
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The coefficient of x is the slope of the line , So the slope of the above equation is -3 .
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Remember from now on ,
Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .
Thus ;
m is the slope of the line which we want.
Negatives simplifies
Divide sides by 3
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We have following equation to find the point-slope form of the linear functions :
x(0) and y(0) are the coordinates of the point which the line passed through.
Add sides 8
Done....
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(4,6) is the correct answer
First you need to distribute the exponent into the terms for the first parenthesis.
(-3x²y³)³ = (-3)³ * (x²)³ * (y³)³
= -27 *x⁶ *y⁹
= -27x⁶y⁹
Then you multiply -27x⁶y⁹ by x²y.
You just need to add the exponents of x and y:
-27x⁶⁺²y⁹⁺¹
= -27x⁸y¹⁰