Math

QuestionFind the slope of the line through points (9,2)(-9,-2) and (5,1)(5,1). Slope =[?][]=\frac{[?]}{[]}.

Studdy Solution

STEP 1

Assumptions1. The line intersects the points (9,)(-9,-) and (5,1)(5,1). The formula for the slope of a line given two points (x1,y1)(x1, y1) and (x,y)(x, y) is m=yy1xx1m = \frac{y - y1}{x - x1}

STEP 2

We are given the points (9,2)(-9,-2) and (5,1)(5,1). We can label these as (x1,y1)(x1, y1) and (x2,y2)(x2, y2) respectively.

STEP 3

Now, we can substitute these values into the formula for the slope of a line.
m=y2y1x2x1m = \frac{y2 - y1}{x2 - x1}m=1(2)5(9)m = \frac{1 - (-2)}{5 - (-9)}

STEP 4

implify the equation.
m=1+2+9m = \frac{1 +2}{ +9}

STEP 5

Calculate the slope.
m=314m = \frac{3}{14}The slope of the line that intersects the points (9,2)(-9,-2) and (5,1)(5,1) is 314\frac{3}{14}.

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