<em>Note:</em>
<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>
Question 2
Answer:
The equation in the standard form is:
Please also check the attached graph.
Step-by-step explanation:
We know that the equation in the standard form is
Ax + By = C
where x and y are variables and A, B and C are constants
Given
To determine
- Write the equation in the standard form
We know that the slope-intercept form of the line equation

where
In our case:
substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation
y = mx+b
y = -2/3x + (-4)
y = -2/3x - 4
Writing the equation in the standard form
2/3x + y = -4
Therefore, the equation in the standard form is:
Please also check the attached graph.
The image of (-4, -2) after a reflection over the line y = -x is (2, -4).
<h3>What is a transformation?</h3>
In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.
<h3>The types of transformation.</h3>
Generally, there are different types of transformation and these include the following:
- Reflection
- Rotation
- Translation
- Dilation
<h3>What is a reflection?</h3>
A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:
(-4, 2) → (2, -4).
Read more on transformation here: brainly.com/question/1548871
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Answer:
y=3x/2 -8
Step-by-step explanation:
2y/2 = 3x/2 + 10/2
y = 3x/2 +5
(y-(-5)) = 3/2 (x-2)
y+5 = 3x/2 - 3
y= 3x/2 - 8
Answer:
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Step-by-step explanation: