Complete the equation of the line through (6,-6) and (8,8)
1 answer:
General formula to determine the equation of the line
y - y₁ = m(x - x₁)
(x₁,y₁) is one of the points which lies n the line
m represents the slope
Find the slope
Given:
(x₁,y₁) = (6,-6)
(x₂,y₂) = (8,8)
We could find the slope by using this formula
m =
Plug in the numbers
m =
m =
m =
m = 7
The slope is 7
Determine the line equation
Plug one of the points (you could choose any of points given from the question) and the slope to the formula of line equation
y - y₁ = m(x - x₁)
y - (-6) = 7(x - 6)
y + 6 = 7x - 42
y = 7x - 42 - 6
y = 7x - 48
<em>This is the equation of the line</em>
y - y₁ = m(x - x₁)
(x₁,y₁) is one of the points which lies n the line
m represents the slope
Find the slope
Given:
(x₁,y₁) = (6,-6)
(x₂,y₂) = (8,8)
We could find the slope by using this formula
m =
Plug in the numbers
m =
m =
m =
m = 7
The slope is 7
Determine the line equation
Plug one of the points (you could choose any of points given from the question) and the slope to the formula of line equation
y - y₁ = m(x - x₁)
y - (-6) = 7(x - 6)
y + 6 = 7x - 42
y = 7x - 42 - 6
y = 7x - 48
<em>This is the equation of the line</em>
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The correct axis of symmetry is x = -1.
Explanation:
Our equation is
.
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
Explanation:
Our equation is
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
