Question

What is the slope and intercept of `3x + y = 5`?

Answer 1

The slope is given by the coefficient `a` in the explicit form:
`y = a x + b`

Explanation:

Thus, reorganising as `y = -3x + 5`, we get the slope as `-3`

Also, using the same explicit form we can calculate the `y` intercept (where `x = 0`), as `y = 5`, and the `x` intercept (where `y = 0`), by solving `0 = -3x + 5`, that is `3x = 5`, and then `x =5/3`