Question

How do you find the slope and y intercept of `y=x+6`?

Answer 1

slope = 1 , y-intercept = 6

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=x+6" is in this form"`

and by comparison with the slope-intercept form above.

m = 1 and b = 6

Thus the slope = 1 and the y-intercept = 6