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Find the slope of the line that passes through the following two points: (3,18) and (1,4) Give your answer as a number, rounded to the nearest tenth, if necessary.

Find the slope of the line that passes through the following two points: (3,18) (3,18) and (1,4) (1,4) \newlineGive your answer as a number, rounded to the nearest tenth, if necessary.

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Full solution

Q. Find the slope of the line that passes through the following two points: (3,18) (3,18) and (1,4) (1,4) \newlineGive your answer as a number, rounded to the nearest tenth, if necessary.
  1. Identify Slope Formula: To find the slope of the line that passes through two points, we use the formula for slope mm, which is the change in yy divided by the change in xx, or m=y2−y1x2−x1m = \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. Assign Coordinate Points: Let's assign the points as follows: (x1,y1)=(3,18)(x_1, y_1) = (3, 18) and (x2,y2)=(1,4)(x_2, y_2) = (1, 4). Now we can plug these values into the slope formula to calculate the slope.
  3. Calculate Slope: Using the slope formula, we get m=(4−18)/(1−3)=(−14)/(−2)m = (4 - 18) / (1 - 3) = (-14) / (-2).
  4. Simplify Fraction: Simplifying the fraction, we get m=7m = 7. This is the slope of the line that passes through the two given points.

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