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

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Answer 1 · 2016-11-17T15:48:10

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

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

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

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

$4 x = 12$ $4x=12$

$\frac{4 x}{4} = \frac{12}{4}$ $(4x)/4=12/4$

$x = 3$ $x=3$

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

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

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

$3 y = 12$ $3y=12$

$\frac{3 y}{3} = \frac{12}{3}$ $(3y)/3=12/3$

$y = 4$ $y=4$

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

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

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