Question

Select the correct answer.

If a line crosses the y-axis at (0, 1) and has a slope of 4/5, what is the equation of the line?

Answer 1

5y - 4x = 5. This gives you your points with a slope of 4/5

Answer 2

`y=(4)/(5)x+1`

Explanation:

We are given the slope, and the y-intercept. So we can use the slope-intercept equation. Which is as follows:

`y=mx+b`

where
`m` is the slope and
`b` is the y-intercept (the value of
`y` when
`x=0`).

The information that we have is that the slope of the line is:

`m=(4)/(5)`

and that the line crosses the y-axis at (0, 1).

From this point we can find the y-intercept
`b`, because b is the value of
`y` when
`x=0`.

And since the line passes through (0, 1) when
`x = 0`,
`y =1`. Thus, the y-intercept is:

`b=1`

substituting the values of the slope and the y-intercept into the equation:

`y=mx+b\\y=(4)/(5)x+1`

the answer is:
`y=(4)/(5)x+1`