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Write the equation of the horizontal line that passes through the point (4,-3)

Sagot :

KitdaAneekidn

Answer:

[tex]y=-3[/tex]

Step-by-step explanation:

A horizontal line has no slope. This means that the y-value remains unchanged as the x-value changes.

Since the y-intercept will be -3 since there is no change in the y-value and the slope is 0, we can plug this into the slope-intercept equation and get the overall equation of the line.

[tex]\text{Slope-intercept equation:}\\\\y = mx+b~ (\text{Where m = 0 and b = -3})\\\\\text{Plugging in:}\\\\y=(0)(x) +(-3)\\\\\boxed{y = -3}[/tex]

Therefore, the equation of the line is y = -3.

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