Answer:
the slope is 3/4
Step-by-step explanation:
The formula for slope is
m = (y2 - y1)/(x2 - x1)
The two points are given as (-1, 1) or (x1, y1), and (3, 4) or (x2, y2)
Plug those value into the formula and simplify
m = (4 - 1)/(3 - (-1))
m = 3/(3 + 1)
m = 3/4
Answer:
x=9 is the answer
Step-by-step explanation:
you do 2^2 then 2-2 you add those two answer together than subtract from 15
Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula
On substituting the values from the point, we will get
Now we will use slope intercept form, which is
Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get
b =0
Substituting the values of m and b in the slope intercept form, we will get
The coordinate of the vertex is; (h, k) = (3, -5)
The final equation of the parabola is; y = 5(x - 3)² - 5
<h3>How to find the vertex of a Parabola?</h3>
The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.
The coordinate of the vertex is; (h, k) = (3, -5)
2) Since the general equation is;
y = a(x - h)² + k
We will have;
y = a(x - 3)² - 5
At x = 2, y = 0. Thus;
0 = a(2 - 3)² - 5
a - 5 = 0
a = 5
3) The final equation of the parabola is;
y = 5(x - 3)² - 5
Read more about Parabola Vertex at; brainly.com/question/17987697
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