Question 9

CANOEING Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoelng, Geoff has traveled 18 miles. Write an equation in point slope form to find the total distance $y$ Geoff travels after $x$ hours.

Answer

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Answer

Therefore, the equation in point-slope form is y = 3.5x + 0.5.

Steps

Step 1 ：The slope of the line is 3.5, representing Geoff's rate of travel.

Step 2 ：Using the point-slope form of a linear equation, we substitute the values into the equation: y - 18 = 3.5(x - 5)

Step 3 ：Simplifying the equation, we get: y - 18 = 3.5x - 17.5

Step 4 ：Rewriting the equation in point-slope form, we have: y = 3.5x - 17.5 + 18

Step 5 ：Simplifying further, we get: y = 3.5x + 0.5

Step 6 ：Therefore, the equation in point-slope form is y = 3.5x + 0.5.