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QuestionCalculate the slope of the line through points (22,40) and (62,17). Round your answer to one decimal place.

Studdy Solution

STEP 1

Assumptions1. We have two points on the line (22,40) and (62,17) . The slope of a line is given by the formulalope=y−y1x−x1lope = \frac{y - y1}{x - x1}where (x1, y1) and (x, y) are the coordinates of two points on the line.

STEP 2

Now, let's identify the coordinates of the two points. We'll call (22,40) as point1 and (62,17) as point2.
So, we havex1=22,y1=40,x2=62,y2=17x1 =22, y1 =40, x2 =62, y2 =17

STEP 3

Now, we can substitute these values into the slope formula.
lope=y2−y1x2−x1=17−4062−22lope = \frac{y2 - y1}{x2 - x1} = \frac{17 -40}{62 -22}

STEP 4

Perform the subtraction in the numerator and the denominator.
lope=−2340lope = \frac{-23}{40}

STEP 5

Now, divide the numerator by the denominator to get the slope of the line.
lope=−2340=−0.575lope = \frac{-23}{40} = -0.575

STEP 6

As per the problem, we need to round the slope to one decimal place. So, the slope of the line is -0.6.
The slope of the line passing through the points (22,40) and (62,17) is -0.6.

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