Find equations of all lines having slope -2 that are tangent to the curve y=2/(x+9) Select the correct choise below and fill in the answer box(es) within your choice. A. There is only one line tangent to the curve with a slope of -2 and its equation is _ B. There two lines tangent to the curve with a slope of -2. The equation of the line with the lager y-intercept is _ and the equation of the line smaller y-intercept is _

targetepd

targetepd

Answered question

2022-08-13

Find equations of all lines having slope -2 that are tangent to the curve y = x x + 9
Select the correct choise below and fill in the answer box(es) within your choice.
A. There is only one line tangent to the curve with a slope of -2 and its equation is _
B. There two lines tangent to the curve with a slope of -2. The equation of the line with the lager y-intercept is _ and the equation of the line smaller y-intercept is _

Answer & Explanation

Janiah Hoffman

Janiah Hoffman

Beginner2022-08-14Added 12 answers

Slope = 2           y = 2 x + 9
d y d x = 2 ( x + 9 ) 2 d y d x = 2 = 2 ( x + 9 ) 2 2 ( x + 9 ) 2 = 2 ( x + 9 ) 2 = 1 x + 9 = 1  and  x + 9 = 1 x = 10  and  x = 8 y = 2  and  y = 2
Point are ( 10 , 2 )  and  ( 8 , 2 )
y ( 2 ) = 2 ( x ( 10 ) )  and  y 2 = 2 ( x ( 8 ) ) y = 2 x 22  and  y = 2 x 14
(option B)-> layer y intercept y = 2 x 22
smallen y intercept y = 2 x 14

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