Question

Help me please?

Answer 1

The slope (or gradient) describes the steepness of the line. Therefore the slope is equal to `2/1`.

Explanation:

In other words, to find the slope you need to know how many points does the y axis (vertical line) go up when the x axis (horizontal line) goes across 1. For example, if the slope was equal to just 1. If you were given the x value 1, the y value of that point would also be 1. If the x value was 2, the y value would be 2. So on and so forth.

On your graph, we know the slope is not 1 since when the x value is 1, the y value is actually 2.

Notice how over 1 point on the x axis the y axis went up 2? We can write that as a fraction `2/1`. Therefore, the slope is equal to 2.

Hopefully that was helpful! :)

Answer 2

The slope is `2/1` or `2`.

The y-intercept is `0`.

The equation of the line is `y=2x`.

Explanation:

The slope of a line can be represented as `(Deltay)/(Deltax)`, which means `"change in y"/"change in x"`. The origin `(0,0)` is the first point on the graph shown. The next point is `(1,2)`. `Deltay=2-0=2` and `Deltax=1-0=1`. So the slope is `2/1` or `2`.

You can also just look at the line and see that at any given point, the next point is 2 up and 1 over, which is a slope of `2/1` or `2`.

The y-intercept is the value of `y` when `x=0`. Since the line goes through the origin, the y-intercept is `0`.

I don't know what it means by Rules.

The equation of the line is `y=2x`.

graph{y=2x [-10, 10, -5, 5]}