Question

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

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

Step-by-step explanation:

A line has a general equation of

`y = mx + b`

where b is the y-intercept and slope of m.

Since
`(0,1)` is the value of y when
`x = 0`, it is the point of intersection of the line with the y-axis, hence the y-intercept is
`b=1`.

We are given the slope is
`m = (4)/(5)`

So the equation of the line is

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