Questions: Click twice to plot each segment. Click a segment to delete it.

Transcript text: Click twice to plot each segment. Click a segment to delete it.

Solution

Step 1: Identify two points on the line

Two points that lie on the line are (6, 0) and (0, -6).

Step 2: Calculate the slope

The slope of the line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points (6, 0) and (0, -6): $m = \frac{-6 - 0}{0 - 6} = \frac{-6}{-6} = 1$

Step 3: Determine the y-intercept

The y-intercept is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at (0, -6), so the y-intercept is -6.

Step 4: Write the equation in slope-intercept form

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Using the calculated slope $m=1$ and y-intercept $b=-6$, the equation of the line is: $y = 1x - 6$ or $y = x - 6$

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