Question

log = y = 3x - 1

Explanation:

Identify the linear equation

The handwritten equation is:

$$y = 3x - 1$$

Determine slope and y-intercept

Using the Slope-Intercept Form of a line:

$$y = mx + b$$

The slope is \(m = 3\).
Using the Y-intercept concept:
The y-intercept is \(b = -1\), giving the point \((0, -1)\).

Find a second point on the line

Using the slope \(m = \frac{\text{rise}}{\text{run}} = \frac{3}{1}\):
Start at \((0, -1)\), move up 3 units and right 1 unit.
This gives the point \((1, 2)\).

Graph the linear equation

Using the Graphing Linear Equations technique:
Plot the points \((0, -1)\) and \((1, 2)\) on the coordinate plane.
Draw a straight line passing through both points.

Answer:

To graph the equation \(y = 3x - 1\):

1. Plot the y-intercept at \((0, -1)\).
2. Use the slope \(m = 3\) to find a second point by moving up 3 units and right 1 unit to \((1, 2)\).
3. Draw a straight line through both points.