Question

Find an equation of the line having the given slope and containing the given point. Then graph the line passing through the given point and having the given slope.
m = 0​, ​(0​, -6​)

Answer 1

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

Since the given slope is m = 0, the equation of the line is y = 0x + b, which simplifies to y = b.

To find the value of b, we can use the given point (0, -6). Plugging in the x and y coordinates into the equation y = b, we get -6 = b.

Therefore, the equation of the line is y = -6.

To graph the line, we plot the point (0, -6) on the y-axis and draw a horizontal line passing through that point. Since the slope is 0, the line will be parallel to the x-axis and have a y-value of -6 for all x-values.

The graph of the line looks like this:

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-6 - - - - - - - - - - - - - >
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