Question #551d4

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
2 Answers
Zain
Dec 8, 2017

5

Explanation:

Slope-intercept form is
#y=mx+b#
#m# = slope
#b# = y-intercept

The slope of #y=5x+4#
is #5#

And two lines with different slopes will intersect somewhere.
therefore all parallel lines has the same slope.

P.S. If you need help understanding this further please comment

Victor
Dec 8, 2017

5

Explanation:

image.slidesharecdn.com
Essentially, Lines that are parallel means they have the same slope.

So looking at your equation, we see that #y=5x+4# has a slope of 5, that means the slope of a line that’s parallel to this line will have the same slope, which is also 5.

The slope is labeled as m in an equation in the form of #y=mx+b#. In other words:

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