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What is the answer for question 4. b) ?http://postimg.org/image/xusvq33e3/

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lkballer24 | Student, Grade 11 | (Level 1) Valedictorian

Posted May 14, 2013 at 9:40 PM via web

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What is the answer for question 4. b) ?
http://postimg.org/image/xusvq33e3/

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crmhaske | College Teacher | (Level 3) Associate Educator

Posted May 14, 2013 at 10:02 PM (Answer #1)

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A secant is a straight line connecting two points on a curve; therefore, the first thing we need to do is solve for the y values at the two given values of x:

x=1
-2log(1)+3 = 3

x=1.5
-2log(1.5)+3 = 2.65

Therefore, the two points are (1,3) and (1.5,2.65).

Slope = rise/run:

`m=(y_2-y_1)/(x_2-x_1)=(2.65-3)/(1.5-1)=-0.7`

Therefore, the slope of the secant line through the points on the curve at x=1 and x=2 is -0.7.

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