The solution is -6/5
The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A
Now , the value of A is A ( 2 , 8 )
Let the second point be B
The value of B is B ( -3 , 14 )
And , the slope of the line between 2 points is given by the formula,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 14 - 8 ) / ( -3 - 2 )
On simplifying the equation , we get
Slope m = 6 / ( -5 )
Slope m = -6/5
Therefore , the slope of the line is m = -6/5
Hence , The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5
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