Which of the following is a solution to the system of equations? 4 + y = -x y = 2x - 10
1 answer:
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Answer:
The axis of symmetry is
Step-by-step explanation:
we know that
In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex
In this problem we have a vertical parabola open upward
The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola
so
therefore
The axis of symmetry is
Point slope form is used when we have the information of at least two coordinates that lie on the line
For example:
Given that coordinate (3, 4) and (6, 7) lies on a straight line.
We work out the equation of the line by substituting the two coordinates into the formula (y - y₁) = m(x - x₁) where (x₁, y₁) could be either (3, 4) and (6, 7).
We would need to use both coordinates to work out the gradient (m) by using the formula:
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The slope intercept form is used when we are given enough information to work out the gradient as well as the y-intercept.
For example:
Given two coordinates (3, 5) and (0, 9)
This information can help to find the gradient and the y-intercept.
The y-intercept would be at 9 because the (0, 9)
We calculate the gradient m
Then substitute into y=mx+c which is the slope intercept form.
For example:
Given that coordinate (3, 4) and (6, 7) lies on a straight line.
We work out the equation of the line by substituting the two coordinates into the formula (y - y₁) = m(x - x₁) where (x₁, y₁) could be either (3, 4) and (6, 7).
We would need to use both coordinates to work out the gradient (m) by using the formula:
----------------------------------------------------------------------------------------------------------------
The slope intercept form is used when we are given enough information to work out the gradient as well as the y-intercept.
For example:
Given two coordinates (3, 5) and (0, 9)
This information can help to find the gradient and the y-intercept.
The y-intercept would be at 9 because the (0, 9)
We calculate the gradient m
Then substitute into y=mx+c which is the slope intercept form.