Respuesta :
Answer:
y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.
Step-by-step explanation:
Given:
Let,
A ≡ ( x1 , y1 ) ≡ ( -2, 7 )
Slope = m = 0
To Find :
Equation of Line:
Solution:
Formula for , equation of a line passing through a point ( x1 , y1 ) and having a slope m is given by
[tex](y - y_{1})=m(x-x_{1})[/tex]
Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,
[tex]y-7=0\times(x--2) \\y-7=0\times (x+2)\\y-7=0\\\therefore y=7[/tex]
Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero
The equation of a line that passes through a point is an algebraic equation. It can also be referred to as the Slope-Intercept Equation.
The equation of the line that passes through the point (-2, 7) and has a slope of zero is written as: y = 7
The equation of the line through a point (x1, y1) can be represented by the algebraic equation:
y = mx + c
where:
m = slope
c = y - intercept
From the question,
(x1, y1) = (-2, 7)
m = slope = 0
Substituting these values into the algebraic equation,
7 = (0 x -2) + c
7 = 0
Hence, y = 7
The equation of the line that passes through the point (-2, 7) and has a slope of zero is y = 7
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