Math

QuestionFind the slope of the line through points (7,9)(7,9) and (5,7)(5,7) using the slope formula. What is the slope?

Studdy Solution

STEP 1

Assumptions1. The two given points are (7,9)(7,9) and (5,7)(5,7). We are using the slope formula to find the slope of the line passing through these points

STEP 2

The slope of a line passing through two points (x1,y1)(x1,y1) and (x2,y2)(x2,y2) is given by the formulalope=y2y1x2x1lope = \frac{y2 - y1}{x2 - x1}

STEP 3

Now, plug in the given values for the points into the slope formula. Let (x1,y1)=(7,9)(x1,y1) = (7,9) and (x2,y2)=(5,7)(x2,y2) = (5,7).
lope=7957lope = \frac{7 -9}{5 -7}

STEP 4

Perform the subtraction in the numerator and the denominator.
lope=22lope = \frac{-2}{-2}

STEP 5

implify the fraction.
lope=1lope =1The slope of the line is1.

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