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

##### 1 Answer

Dec 29, 2017

#### Explanation:

#"one way is to find the intercepts, that is where the graph"#

#"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=0toy=0-2rArry=-2larrcolor(red)"y-intercept"#

#y=0to3/4x-2=0rArr3/4x=2rArrx=8/3#

#"choosing another value of x since "8/3" is awkward"#

#x=4toy=3-2=1#

#"plot the points "(0,-2)" and "(4,1)#

#"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]}