  2Find equations of all lines having slope 2 that are tangent to the curve y-x-6Select the correct choice below and fill in the answer box(es) within your choice.A. There are two lines tangent to the curve with a slope of 2. The equation of the line with the larger y-intercept isand the equation of the line with thesmaller y-intercept is(Type equations.)O B. There is only one line tangent to the curve with a slope of -2 and its equation is(Type an equation.)

Question

can you help me step by step please help_outlineImage Transcriptionclose2 Find equations of all lines having slope 2 that are tangent to the curve y - x-6 Select the correct choice below and fill in the answer box(es) within your choice. A. There are two lines tangent to the curve with a slope of 2. The equation of the line with the larger y-intercept is and the equation of the line with the smaller y-intercept is (Type equations.) O B. There is only one line tangent to the curve with a slope of -2 and its equation is (Type an equation.) fullscreen
Step 1

Given information:

The equatio of the curve is

Step 2

Calculation:

Differentiate the function y with respect to x, we get

Step 3

It is given that the slope is -2.

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