Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
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Answer:
<em>x - 3y = 6</em>
Step-by-step explanation:
<u>Equation of the line in intercept form</u>
The intercept form of the equation of a line is:
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6