Question

What is the slope and intercept of `y = 3x+1`?

Answer 1

The slope is 3

`y_("intercept") = 1`

Explanation:

Compare to standard form of `y=mx+c` where `m` is the gradient.

You will observe the value of 3 is where the `m` is.

This means that the gradient is `+3`

The fact that 3 is positive is important. It means that if you follow the graph from left to right then the line is going up.

If the gradient is negative (minus sign) then the slope is going down left to right.
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In the standard form equation the `c` is the y intercept. In your equation `c=1`. This means that the line crosses the y axis at y is 1