SOLUTION: Which best descries the effect on f(x)=2x-5 if the slope changes to 10? A- it's graph becomes less steep b-it's graph moves 15 units up c- it's graph makes 10 rotations d-the x-int

Question 691237: Which best descries the effect on f(x)=2x-5 if the slope changes to 10? A- it's graph becomes less steep b-it's graph moves 15 units up c- it's graph makes 10 rotations d-the x-intercept becomes 1/2
Found 2 solutions by ReadingBoosters, fcabanski:
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
f(x) = 2x - 5

...
f(x) = 10x - 5

...
The graph isn't less steep it is more steep.
The graph didnt' move along the y axis, the intercept is the same
The graph did not make any rotation
The x intercept has changed from to
...

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Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
y=mx+b is the slope intercept form for a line equation. m is the slope and b is the y intercept. In this equation if the slope is 10 the equation is y (or f(x)) = 10x -5.

Find the x-intercept by setting each one equal to 0

2x-5 = 0 ---> 2x = 5 ---> x=5/2.

10x-5 = 0 ---> 10x = 5 ---> x =5/10 = 1/2. The new x-intercept is 1/2. D is the answer.

As for the others:

A slope of 10 compared to a slope of 2...the slope of 10 is more steep.

A vertical shift for f(x) happens when something is added. g(x) = f(x) + c is a shift up c units. 2x-5+15 = 2x+10.

Changing the slope does not rotate the line, it just makes it steeper.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
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