Question

Graph the linear equation

y=23x−1.

Answer 1

To graph the linear equation y = 23x - 1, we need to plot points on a coordinate plane and connect them to form a straight line.

Starting with x = 0, we can substitute it into the equation to find the corresponding y-coordinate:

y = 23(0) - 1
y = -1

So the point (0, -1) lies on the line.

Next, let's find another point. Let's choose x = 1:

y = 23(1) - 1
y = 23 - 1
y = 22

Thus, the point (1, 22) also lies on the line.

Plotting these two points on the coordinate plane, we get:

(0, -1) and (1, 22)

Now, draw a straight line passing through these two points. This line represents the graph of the linear equation y = 23x - 1.

The graph should look like a diagonal line going upwards from left to right.