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Find the equation (in slope-intercept form ) of the line with the given slope that passes through the point with the given coordinates slope 0,ordered (3,-6)

User NomNomNom
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Final answer:

To find the equation of a line with slope 0 that passes through a given point, we set the equation as y = b and find the value of b using the given point.

Step-by-step explanation:

To find the equation of a line in slope-intercept form, we need the slope and a point that it passes through. In this case, we are given the slope of 0 and a point with coordinates (3, -6).

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Since the slope is 0, the equation becomes y = 0x + b, which simplifies to y = b.

Now we need to find the value of b. Since the line passes through the point (3, -6), we substitute x = 3 and y = -6 into the equation y = b, giving -6 = b.

Therefore, the equation of the line with slope 0 that passes through the point (3, -6) is y = -6.

User Ryan J
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