Question

How do you find the slope and intercept to graph `y=2x`?

Answer 1

See explanation

Explanation:

Standard for of equation is `y= mx+c`

where m is the gradient (slope) and c is the y-intercept. The gradient is the amount of up for the amount of along. So a gradient of say `2/3` would mean that for every 3 along the x-axis you would go up by 2 on the y-axis.

In your case the m is of value 2. This may be quite correctly written as `2/1`. So for every 1 along the x-axis you go 2 along the y-axis.

`color(green)("Your gradient is " 2)`

The line will cross the y-axis at `x=0`. So just substitute and solve.

so `y=2x "becomes " y=2 times 0`

and `2 times 0 = 0`

So your graph crosses the y-axis at `y=0`

Answer 2

The slope is `2` and the y-intercept is `0`.

Explanation:

`y=2x` is in the slope-intercept form of a linear equation, `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

For the equation `y=2x`, the slope is `2` and the y-intercept is `0`.

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