Answer:
<h2>In the attachment</h2>Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
(x₁, y₁) - point
We have the equation:
Therefore we have
the slope m = -2/3
and the point (-9, 5)
A slope
rise = -2
run = 3
From the point (-9, 5) ⇒ 2 units down and 3 units to the right.
Explanation:
The function is
To graph the function, let us find the x and y intercepts.
To find x-intercept, let us substitute y=0 in the function
Thus, the x-intercept is
To find the y-intercept, let us substitute x=0, we get,
Thus, the y-intercept is
The graph has no asymptotes.
To plot the points in the graph, we need to substitute the values for x in the function , to find the y-values.
The points are . The image of the graph and table is attached below:
See in the explanation
<h2>Explanation:</h2>Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:
Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>
To do so, you would need:
For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:
A(-4,0)
B(-2, 0)
C(-2, 4)
The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:
D(2,1)
E(4, 1)
F(4, 5)
<h2>Learn more:</h2>Translation: brainly.com/question/12534603
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