How do you graph the equation y=3/4x-2?

Dec 29, 2017

$\text{see explanation}$

Explanation:

$\text{one way is to find the intercepts, that is where the graph}$
$\text{crosses the x and y axes}$

• " let x = 0, in the equation for y-intercept"

• " let y = 0, in the equation for x-intercept"

$x = 0 \to y = 0 - 2 \Rightarrow y = - 2 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \to \frac{3}{4} x - 2 = 0 \Rightarrow \frac{3}{4} x = 2 \Rightarrow x = \frac{8}{3}$

$\text{choosing another value of x since "8/3" is awkward}$

$x = 4 \to y = 3 - 2 = 1$

$\text{plot the points "(0,-2)" and } \left(4 , 1\right)$

$\text{draw a straight line through them for graph}$
graph{(y-3/4x+2)((x-0)^2+(y+2)^2-0.04)((x-4)^2+(x-1)^2-0.04)=0 [-12.66, 12.65, -6.33, 6.33]}