Finding the Equation of the Line Passing Through Points (-4, 0) and (0, 0)

(-4, 0) and (0, 0)

To find the equation of the line passing through the points (-4, 0) and (0, 0), we can use the slope-intercept form (y = mx + b), where m is the slope of the line and b is the y-intercept

To find the equation of the line passing through the points (-4, 0) and (0, 0), we can use the slope-intercept form (y = mx + b), where m is the slope of the line and b is the y-intercept.

Step 1: Find the slope (m):
The slope (m) can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)

Let’s plug in the coordinates:
m = (0 – 0) / (0 – (-4))
m = 0 / 4
m = 0

Since the slope is 0, this means the line is horizontal.

Step 2: Find the y-intercept (b):
Since the line is horizontal (parallel to the x-axis), the y-value remains constant along the line. In this case, the y-value is 0 for both points.

Therefore, the y-intercept (b) is 0.

Step 3: Write the equation:
Using the slope-intercept form (y = mx + b), we have:
y = 0x + 0
y = 0

So, the equation of the line passing through the points (-4, 0) and (0, 0) is y = 0.

Therefore, the line is the x-axis itself.

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