# How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?

##### 2 Answers

Point-Slope Form is

Slope-Intercept Form is

#### Explanation:

The point-slope form of the equation of a line is

Where

For this problem

Plug in the values

Simplify the signs

This is the point-slope form of the equation

Now solve for

Use the distributive property to eliminate the parenthesis

Now isolate the

This is the slope-intercept form of the equation

See a solution process below:

#### Explanation:

The point-slope form of a linear equation is:

Where

Substituting the slope and values from the point in the problem gives:

The slope-intercept form of a linear equation is:

Where

We can solve the point-slope equation for