Answer:
see attached image for the graph
Step-by-step explanation:
To graph the linear equation :
[tex]y=\frac{3}{4} x+2[/tex]
we need just two points [tex](x,y)[/tex] pairs, but we better use three to make sure they are aligned. We can find convenient pairs by choosing values of the x-variable that are multiples of 4 in order to cancel the denominator of the slope [tex]\frac{3}{4}[/tex] : So let's use:
1) x=0 then [tex]y=\frac{3}{4} (0)+2 =2[/tex] giving the pair: (0,2)
2) x=4 then [tex]y=\frac{3}{4} (4)+2 =5[/tex] giving the pair: (4,5)
3) x=-4 then [tex]y=\frac{3}{4} (-4)+2 =-1[/tex] giving the pair: (-4,-1)
Now we plot then on the grid (see attached image) and join them with a straight line.
