line has a slope of 0 and passes through the point (3, -5). Which of the following equations represents the line?
Question
A line has a slope of 0 and passes through the point (3, -5). Which of the following equations represents the line?
Solution
The slope of a line is represented in the equation of the line as 'm' in the formula y = mx + b, where 'b' is the y-intercept.
Given that the slope (m) of the line is 0, the equation of the line becomes y = 0*x + b or simply y = b.
The line passes through the point (3, -5). This means when x = 3, y = -5.
Substituting these values into the equation y = b gives -5 = b.
Therefore, the equation of the line is y = -5.
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