Write an equation that passes through the line

Gino Fortunato

Gino Fortunato

Answered question

2022-09-22

Write an equation that passes through the line (2,5) (0,5)

Answer & Explanation

madeleinejames20

madeleinejames20

Skilled2023-05-25Added 165 answers

To find an equation that passes through the points (2, 5) and (0, 5), we can use the slope-intercept form of a linear equation, which is given by:
y=mx+b
where:
- m represents the slope of the line,
- x represents the x-coordinate of a point on the line,
- y represents the y-coordinate of a point on the line, and
- b represents the y-intercept of the line.
Given that the line passes through the points (2, 5) and (0, 5), we can observe that the y-coordinates of both points are the same. This implies that the line is a horizontal line, and its slope is zero.
Substituting the values into the slope-intercept form, we have:
y=0x+b
Since the line passes through the point (2, 5), we can substitute these coordinates into the equation to find the y-intercept, b:
5=0(2)+b
Simplifying this equation, we get:
5=b
Therefore, the equation of the line passing through the points (2, 5) and (0, 5) is:
y=0x+5
Simplifying further, we have:
y=5
Hence, the equation is simply y=5, representing a horizontal line passing through the y-coordinate 5.

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