Find the slope of the line that passes through each pair of points.
(
4.75
,
−
3.575
)
,
(
2.25
,
1.425
)
Expert Solution & Answer
To determine
To Find: The Slope of Line that passes through these points.
Answer to Problem 25P
The Slope of Line is −2 .
Explanation of Solution
Slope: Slope of any line is the characteristic feature of the line that gives us the direction of the line. Slope is also defined as the rate change of its coordinate axes. That is if we take y as dependent variable and x as independent variable then the slope will define how x−axis will change for all input values of x . However, these input values of x are known as the Domain of the function representing the line.
Formula Used:
Slope (m)of line passing through two Co-ordinate points(x1,y1)and (x2,y2)ism=y2−y1x2−x1
For the given points:
We have,(x1,y1)=(4.75,−3.575)(x2,y2)=(2.25,1.425)Therefore, according to the formula used,m=1.425−(−3.575)2.25−4.75⇒m=1.425+3.5752.25−4.75⇒m=5−2.5⇒m=−2
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