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

1 Answer
Jul 5, 2016

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 = 0x=0 y= 3y=3 since 4(0) = 04(0)=0, therefore the y-intercept is 3.
Start by plotting a point at your y-intercept (0,3)(0,3).

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

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