Question

Question #d19f0

Answer 1

See below

Explanation:

The line passes through many points. Basically, any `x` and `y` value that satisfy the equality. 2 points that the line pass through and, also, happen to be on the x and y-axis are called the x-intercept and the y-intercept.

To calculate the x-intercept which is the point where the line intersects that x-axis, set `y=0`:

`y=3x-2`

`0=3x-2`

`2=3x`

`x=2/3`

The x-intercept is `(2/3,0)`

To calculate the y-intercept which is the point where the line intersects that y-axis, set `x=0`:

`y=3x-2`

`y=0-2`

`y=-2`

The y-intercept is `(0,-2)`

Here's what the graph of the line looks like:

graph{3x-2 [-10, 10, -5, 5]}