Question

How do you graph the line `y = 4x + 3`?

Answer 1

graph{4x + 3 [-10, 10, -5, 5]}

Explanation:

There is more than one way of graphing a linear graph, for this equation I would use the y-intercept and the gradient of the line.

When `x = 0` `y= 3` since `4(0) = 0`, therefore the y-intercept is 3.
Start by plotting a point at your y-intercept `(0,3)`.

Then we also know the gradient of the line, this is the '4' before the `x`. Since when the `x` value increase by 1 the `y` value will increase by 4. Since we know `m`(gradient)`= 4` we can now move 1 point across on the `x`-axis and 4 up on the `y`-axis, now plot a point here `(1,7)`

Now that we have at least 2 points `(0,3)` and `(1,7)` we can connect the points drawing a linear graph.