Using the graph, determine the coordinates of the y-intercept of the parabola. TT help
1 answer:
By using the graph (see attachment), the coordinates of the y-intercept of the parabola is (0, 7).
<h3>What is a graph?</h3>A graph can be defined as a type of chart that's commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0).
By critically observing the graph (see attachment), the coordinates of the y-intercept of the parabola is given by:
y-intercept = (0, 7).
Read more on y-intercept here: brainly.com/question/19576596
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Answer:
x + 2y = 20
Step-by-step explanation:
We require the slope and the midpoint of AB
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = A(2, 4) and (x₂, y₂ ) = B(6, 12)
m = =
= 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
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Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ ,
]
Thus midpoint of AB = ( ,
) = (4, 8 )
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y = - x + c ← partial equation of perpendicular bisector
To find c substitute (4, 8) into the partial equation
8 = - 2 + c ⇒ c = 8 + 2 = 10
y = - x + 10 ← in slope- intercept form
Multiply through by 2
2y = - x + 20 ( add x to both sides )
x + 2y = 20 ← in the form ax + by = c