Chapter 5.5, Problem 39PPE

To determine

To find: The timing at which Slope intercept form, point slope form and standard form are used.

Answer to Problem 39PPE

This can be used to solved the linear equations.

Explanation of Solution

Given:

Slope intercept form, point slope form and standard form.

Concept used:

The point slope form of an equation of a non-vertical line with slope $m$ and through point $\left(x_1,y_1\right)$ is:

  $y-y_1=m\left(x-x_1\right)$ .

The slope-intercept form of a linear equation of a non-vertical line is:

  $y=mx+b$ .

Here $m$ is the slope and $b$ is the $y$ intercept.

Calculation:

Consider the following point slope form of a linear equation:

The point slope form of an equation of a non-vertical line with slope $m$ and through point $\left(x_1,y_1\right)$ is:

  $y-y_1=m\left(x-x_1\right)$ .

This can be used when a point and slope of the line is given.

Consider the following slope intercept form of a linear equation:

The slope-intercept form of a linear equation of a non-vertical line is:

  $y=mx+b$ .

Here $m$ is the slope and $b$ is the $y$ intercept.

This formula can be used when slope and the $y$ intercept of the line is given.

Consider the following standard form of a linear equation:

The standard form of a linear equation is:

  $Ax+By=C$ .

Here, $A,B\text{ and }C$ are real numbers and both $A,B$ are non-zeroes.

Hence, this can be used to solved the linear equations.