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Find the Slope - Function Notation










































Find the function for:

a straight line with the following characteristics:

slope,-9/10

passing through the following point (-4,0)

apply the slope intercept form of a linear equation.

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Apr 03, 2012
Write Equation Given Slope and Point
by: Staff


Question:

slope,-9/10; through (-4,0)



Answer:


The relationship is a linear relationship.

Since this is the case, we can apply the slope intercept form of a linear equation.

y = mx + b

m (the slope) = -9/10

In addition, a graph of the function passes through a known point: (-4,0)


y = mx + b

y = (-9/10)x + b

solve for b given the known point

x = -4
y = 0

0 = (-9/10)(-4) + b

0 = (-9/10)(-4) + b

0 = 36/10 + b

b = -36/10

y = mx + b

y = (-9/10)x - 36/10



the final equation is: f(x) = (-9/10)x - 36/10




Thanks for writing.

Staff
www.solving-math-problems.com



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