Question

Graph y =3/4x+2 on a grid

Answer 1

see attached image for the graph

Explanation:

To graph the linear equation :

`y=(3)/(4) x+2`

we need just two points
`(x,y)` 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
`(3)/(4)` : So let's use:

1) x=0 then
`y=(3)/(4) (0)+2 =2` giving the pair: (0,2)

2) x=4 then
`y=(3)/(4) (4)+2 =5` giving the pair: (4,5)

3) x=-4 then
`y=(3)/(4) (-4)+2 =-1` giving the pair: (-4,-1)

Now we plot then on the grid (see attached image) and join them with a straight line.