Question

What is the slope and y-intercept of this line `y = 3x - 5`?

Answer 1

slope = 3
y-intercept = - 5

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=3x-5" is in this form"`

and by comparison with the slope-intercept equation.

slope = 3 and y-intercept = - 5