# How do you graph the line with slope -1/2 passing through point (-3,-5)?

##### 1 Answer

#### Answer:

See explanation

#### Explanation:

Gradient is

So the y value becomes less as you read left to right. The slope is down.

Let the given point be

Using the standardised equation format

We have by substituting the values for

Subtract

So the equation of the line that passes through the point (-3,-5) is:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The y-intercept is the value of the constant

ie: set

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Set

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Mark your points on the x and y axis and draw a straight line through them. Also show the given point.