The x - and y - coordinates of point P are ( - 1 , 2 )
<h3>Further explanation</h3>
Solving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
<em>m → gradient of the line</em>
<em>( 0 , c ) → y - intercept</em>
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
Let us tackle the problem.
<u>Given:</u>
P is ⅔ the length of the line segment from A to B.
Let:
<em>m = 2</em>
<em>m + n = 3</em>
A(9 , -8) → x₁ = 9 , y₁ = -8
B(-6 , 7 ) → x₂ = -6 , y₂ = 7
We can use the formula that is already available in the problem.
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point