y = 3bx − 7x → x = y / ( 3b - 7 )
<h3>Further explanation</h3>
Let the linear equation : ![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
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 :
![\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%7Bm%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%7D)
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
![\large {\boxed{y - y_1 = m ( x - x_1 )} }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%7By%20-%20y_1%20%3D%20m%20%28%20x%20-%20x_1%20%29%7D%20%7D)
Let us tackle the problem!
→ Given
→ Factorize
→ Switch Side
→ Divide
![\large {\boxed {x = \frac{y}{3b - 7} } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%20%7Bx%20%3D%20%5Cfrac%7By%7D%7B3b%20-%207%7D%20%7D%20%7D)
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Equation , Line , Variable , Line , Gradient , Point