The slope equals zero and it passes through the point (1, -4). Find the equation of the line.

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

y = -4

Step-by-step explanation:

Whenever your rate of change [slope] is 0, it is a horizontal line, therefore you have the above answer.

wel3 years ago

4 0

Answer:

y = -4

Step-by-step explanation:

A line with slope zero is a horizontal line. All points on a horizontal line have the same y-coordinate.

The equation of a horizontal line is

y = k,

where k is the y-coordinate of every point on the line.

Since we are told this line passes through the point (1, -4), and the y-coordinate of (1, -4) is -4, then every point on the line has y-coordinate -4.

The equation is

y = -4

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Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
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