Solve N = (Y_{2} - Y_{1})/(x_{2} - x_{1}) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$N=\frac{Y_{2}-Y_{1}}{x_{2}-x_{1}}$$

Solve for Y_1

$Y_{1}=Nx_{1}-Nx_{2}+Y_{2}$
$x_{2}\neq x_{1}$

Steps for Solving Linear Equation

Multiply both sides of the equation by $-x_{1}+x_{2}$.

$$N\left(-x_{1}+x_{2}\right)=Y_{2}-Y_{1}$$

Use the distributive property to multiply $N$ by $-x_{1}+x_{2}$.

$$-Nx_{1}+Nx_{2}=Y_{2}-Y_{1}$$

Swap sides so that all variable terms are on the left hand side.

$$Y_{2}-Y_{1}=-Nx_{1}+Nx_{2}$$

Subtract $Y_{2}$ from both sides.

$$-Y_{1}=-Nx_{1}+Nx_{2}-Y_{2}$$

Divide both sides by $-1$.

$$\frac{-Y_{1}}{-1}=\frac{-Nx_{1}+Nx_{2}-Y_{2}}{-1}$$

Dividing by $-1$ undoes the multiplication by $-1$.

$$Y_{1}=\frac{-Nx_{1}+Nx_{2}-Y_{2}}{-1}$$

Divide $-Nx_{1}+Nx_{2}-Y_{2}$ by $-1$.

$$Y_{1}=Nx_{1}-Nx_{2}+Y_{2}$$

Solve for N

$N=-\frac{Y_{1}-Y_{2}}{x_{2}-x_{1}}$
$x_{2}\neq x_{1}$