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What is the slope of a line that passes through the points (1,3) and (7,5) in the xy-plane? Choose 1 answer: (A) (1)/(3) (B) 2 (c) 3 (D) 6

What is the slope of a line that passes through the points (1,3) (1,3) and (7,5) (7,5) in the xy x y -plane?\newlineChoose 11 answer:\newline(A) 13 \frac{1}{3} \newline(B) 22\newline(C) 33\newline(D) 66

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Full solution

Q. What is the slope of a line that passes through the points (1,3) (1,3) and (7,5) (7,5) in the xy x y -plane?\newlineChoose 11 answer:\newline(A) 13 \frac{1}{3} \newline(B) 22\newline(C) 33\newline(D) 66
  1. Plug in points: Using the points (1,3)(1,3) and (7,5)(7,5), we plug them into the slope formula:\newlineSlope =(5−3)(7−1)= \frac{(5 - 3)}{(7 - 1)}
  2. Simplify numerator and denominator: Now we simplify the numerator and the denominator:\newlineSlope = 26\frac{2}{6}
  3. Reduce fraction: We can reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22: Slope = (22)/(62)(\frac{2}{2}) / (\frac{6}{2})
  4. Final result: After simplifying, we get:\newlineSlope = 13\frac{1}{3}

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