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

What is the slope of a line that passes through the points (−3,−5) (-3,-5) and (1,7) (1,7) in the xy x y plane?\newlineChoose 11 answer:\newline(A) 66\newline(B) 33\newline(C) 12 \frac{1}{2} \newline(D) −1-1

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Full solution

Q. What is the slope of a line that passes through the points (−3,−5) (-3,-5) and (1,7) (1,7) in the xy x y plane?\newlineChoose 11 answer:\newline(A) 66\newline(B) 33\newline(C) 12 \frac{1}{2} \newline(D) −1-1
  1. Step 11: Slope formula: To find the slope of the line passing through two points, we use the slope formula: slope (m) = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  2. Step 22: Substitute given points: Substitute the given points (−3,−5)(-3, -5) as (x1,y1)(x_1, y_1) and (1,7)(1, 7) as (x2,y2)(x_2, y_2) into the slope formula.\newlinem=7−(−5)1−(−3)m = \frac{7 - (-5)}{1 - (-3)}
  3. Step 33: Simplify numerator and denominator: Simplify the numerator and the denominator.\newlinem = (7+5)/(1+3)(7 + 5) / (1 + 3)\newlinem = 12/412 / 4
  4. Step 44: Calculate simplified slope: Calculate the simplified slope.\newlinem = 124\frac{12}{4}\newlinem = 33

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