Math

QuestionFind the slope of the line through points (3,8)(-3,8) and (4,7)(4,7). Show your calculations.

Studdy Solution

STEP 1

Assumptions1. We have two points in the Cartesian coordinate system (3,8)(-3,8) and (4,7)(4,7). . We need to find the slope of the line passing through these points.

STEP 2

The formula to calculate the slope (m) of a line passing through two points (x1,y1)(x1, y1) and (x2,y2)(x2, y2) is given bym=y2y1x2x1m = \frac{y2 - y1}{x2 - x1}

STEP 3

Now, let's plug in the given coordinates into the formula. Here, (3,8)(-3,8) is (x1,y1)(x1, y1) and (,7)(,7) is (x2,y2)(x2, y2).
m=78(3)m = \frac{7 -8}{ - (-3)}

STEP 4

implify the equation.
m=17m = \frac{-1}{7}The slope of the line that passes through the points (3,8)(-3,8) and (4,7)(4,7) is 17-\frac{1}{7}.

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