What are the steps of drawing a straight line with an equation of y equals x plus 2?

Answer 1

When you say drawing a straight line, I'll assume you mean graphing it, and that you know how to draw a starting graph outline.

y = x + 2

The first step to graphing a straight line is to determine where the line crosses the x-axis (x-intercept), and where it crosses the y-axis (y-intercept).

To find the x-intercept, set the y in the equation to zero.

0 = x + 2

Move the constant (in this case, 2) to the opposite side by performing the opposite math operation on it.

0 - 2 = x + 2 - 2

Simplify

-2 = x

So the line will cross the x-axis at the point x = -2. Plot a point on the horizontal axis of your graph at x=-2.

To find the y-intercept, set the x in the original equation to zero.

y = 0 + 2

simplify

y = 2

So the line will cross the y-axis at the point y = -2. Plot a point on the vertical axis of your graph at x=-2.

Using a ruler (or any other straightedge) to draw a line that passes through both points.

To indicate that the line goes beyond what is shown on the graph, add an arrow tip (for example >) to both ends of the line.