(a) Find the slope of the tangent line to the curve y = 9-x2 at the point whose x-coordinate is 2.
(b) Find the equation of this tangent line in a slope-intercept form.
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(a) Find the slope of the tangent line to the curve y = 9-x2 at the point whose x-coordinate is 2.
(b) Find the equation of this tangent line in a slope-intercept form.
Slope of the tangent line =Quote:
Originally Posted by olemiss13
(a). Particularly, at x = 2,
. Slope is -4.
(b) We know that the function goes through the point (2,5) (substituted x=2 into the original function). Therefore we can write in point-slope form and convert to slope-intercept form: