Question

Can you help me find the answer to 22?

Answer 1

The general equation of a line in slope intercept form is
`y=mx+c` , where m is the slope.

The slope of the line given = 3/4

So here m = 3/4. We can write the equation as

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

`y = 3x/4 + c`

Now given, the equation passes through the origin.

That means the equation passes through the point (0,0).

We will place x =0 and y =0, to get c here.

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

`0 = (3/4) (0) +c`

`0 = 0 + c`

`c =0`

We have got the value of c, so the equation of the line is

`y = 3x/4 + 0`

`y = 3x/4`

So the required equation of the line is
`y = 3x/4.`