Question

How do you find the slope and y-intercept for the line `y=3x-5`?

Answer 1

Slope: `3`
y-intercept: `(-5)`

Explanation:

Any linear equation in the form
`color(white)("XXX")y = color(red)(m)x+color(blue)(b)`
is in a form called the "slope-intercept form" with a slope of `color(red)(m)` and a y-intercept of `color(blue)(b)`

`y=3x-5` is almost in this form.

Re-writing as `y =color(red)(3)x + color(blue)((-5))` places it in "slope-intercept form"
with slope `color(red)(3)` and y-intercept `color(blue)((-5))`