The problem asks us to draw the graph of the equation $y = 4x - 2$ on the given grid.

1. Problem Description

The problem asks us to draw the graph of the equation $y = 4x - 2$ on the given grid.

2. Solution Steps

The given equation is a linear equation in slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. In this case, the slope $m = 4$ and the y-intercept $b = -2$.

First, we identify the y-intercept, which is the point where the line crosses the y-axis. In the equation $y = 4x - 2$, the y-intercept is -

2. Thus, the line passes through the point (0, -2).

Next, we use the slope to find another point on the line. The slope is 4, which can be written as a fraction $\frac{4}{1}$. This means that for every 1 unit we move to the right on the x-axis, we move 4 units up on the y-axis. Starting from the y-intercept (0, -2), we move 1 unit to the right and 4 units up. This gives us the point (1, 2).

We now have two points (0, -2) and (1, 2). We can plot these points on the grid and draw a straight line through them.

3. Final Answer

The graph of the equation $y = 4x - 2$ is a straight line passing through the points (0, -2) and (1, 2). (Please note: I cannot draw the graph here, but one would plot these points on the given grid and draw a line.)