How do you use the intercepts to graph the equation: 4x+3y=12?

↳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)#?"
1 Answer
Shell
Nov 17, 2016

Find the #x# and #y# intercepts, plot them on the #xy# coordinate grid, and connect them with a line.

Explanation:

Graph #4x+3y=12# using intercepts.

To find the #x# intercept, set #y=color(red)0# and solve for #x#.

#4x+3(color(red)0)=12#

#4x=12#

#(4x)/4=12/4#

#x=3#

The #x# intercept is #(3,0)#.

To find the #y# intercept, set #x=color(blue)0# and solve for #y#.

#4(color(blue)0)+3y=12#

#3y=12#

#(3y)/3=12/3#

#y=4#

The #y# intercept is #(0,4).

Next, plot each of these points and connect them with a line.

![desmos.com](useruploads.socratic.org)

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