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What is the equation of the horizontal line through (4,6)?

a. y = 4.6
b. x = 4.6
c. y = 6
d. x = 6

User Shanyu
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1 Answer

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Final answer:

The equation of the horizontal line that passes through (4,6) is y = 6, as the y-value remains constant along a horizontal line.

Step-by-step explanation:

The question asks to find the equation of the horizontal line that passes through the point (4,6). A horizontal line has a slope of zero, which means that no matter how much we move along the x-axis, the y-value remains constant. Therefore, the equation of any horizontal line can be written as y = k, where k is the y-coordinate of any point on the line. Since our line passes through the point (4,6), the y-value is 6. This means the equation of the horizontal line is y = 6.

User OJW
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