Question

Question #4b6d3

Answer 1

The equation for this is `y=3x+1`. See below.

Explanation:

Okay, so we're given the slope (m) and a certain coordinate and we are asked to find the equation.

The way we do this is by using the slope-intercept formula,
`y=mx+b`.

`y`= y coordinate
`m`= slope
`x`= x coordinate
`b`= y-intercept

So, in order to solve for `b` (since we already have `m`), we need to put in the values we are given:

`4=3(1)+b`
`y`= `4`
`m`= `3`
`x`= `1`
`b`= `?`

`4=3(1)+b`
`4=3+b`
`4-3=3+b-3`
`4-3=3+b` (The `3's` cancel out)
`1=b`

So now that we have solved for `b`, we can now put it in our equation:

`y=3x+1`

Now, you might be wondering, why aren't we putting the values for x and y in the equation? That is because the point will not always be (1,4), it could be something else. Therefore, it is not constant.

However, the slope and y-intercept (m and b) are constant.

Hope this helps!