(-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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