Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form. −three fourthsx + y = 10 3x − 4y = −40 y = three fourthsx + 12 y = three fourthsx + 10
Mathematics · High School · Thu Feb 04 2021
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Given the equation:
y - 4 = ¾ ( x + 8)
Rewrite the equation in standard form.
Solution:
In order to rewrite the equation in standard form, we simply needed to multiply ¾ to each value inside the parenthesis, and then transpose -4 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y - 4 = ¾ ( x + 8)
y = ¾x + 6 + 4
y = ¾x + 10
Final answer:
y = ¾x + 10