Question

How do you find the slope and y intercept of `y=10/9 x+4`?

Answer 1

slope `=10/9`
y-intercept = +4

Explanation:

The equation of a line in `color(blue)"slope-intercept form"` is

`color(red)(bar(ul(|color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))`
where m represents the slope and b. the y-intercept.

The advantage to having the equation in this form is that m and b can be extracted 'easily'.

`y=10/9x+4" is in this form"`

By comparison with the standard equation above we obtain.

`"slope" =10/9" and y-intercept" =4`
graph{10/9x+4 [-10, 10, -5, 5]}