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Which of the following is an equation of the line in the 
xy - plane with 
x intercept 
(5)/(3) and 
y-intercept 
(10)/(7) ?
Choose 1 answer:
(A) 
-7y+6x=10
(B) 
7y+6x=-10
(C) 
7y+6x=10
(D) 
7y-6x=10

Which of the following is an equation of the line in the xy x y - plane with x x intercept 53 \frac{5}{3} and y y -intercept 107 \frac{10}{7} ?\newlineChoose 11 answer:\newline(A) 7y+6x=10 -7 y+6 x=10 \newline(B) 7y+6x=10 7 y+6 x=-10 \newline(C) 7y+6x=10 7 y+6 x=10 \newline(D) 7y6x=10 7 y-6 x=10

Full solution

Q. Which of the following is an equation of the line in the xy x y - plane with x x intercept 53 \frac{5}{3} and y y -intercept 107 \frac{10}{7} ?\newlineChoose 11 answer:\newline(A) 7y+6x=10 -7 y+6 x=10 \newline(B) 7y+6x=10 7 y+6 x=-10 \newline(C) 7y+6x=10 7 y+6 x=10 \newline(D) 7y6x=10 7 y-6 x=10
  1. Write Equation in Slope-Intercept Form: Write the equation of the line in slope-intercept form y=mx+by = mx + b using the slope and y-intercept.\newliney=mx+by = mx + b\newliney=(67)x+(107).y = \left(-\frac{6}{7}\right)x + \left(\frac{10}{7}\right).
  2. Convert to Standard Form: Convert the equation to standard form Ax+By=CAx + By = C.\newlineMultiply all terms by 77 to clear the fraction.\newline7y=6x+107y = -6x + 10.
  3. Rearrange for Standard Form: Rearrange the terms to get the standard form.\newlineAdd 6x6x to both sides.\newline6x+7y=106x + 7y = 10.

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