# How do you write the linear function whose x intercept a and y intercept b are given: a= -1 b=-2?

##### 1 Answer

May 7, 2016

y= -2x - 2

#### Explanation:

Given x - intercept is a = -1, coordinate of x-intercept is (-1, 0)

and y-intercept is b= -2, coordinate of y-intercept is (0,-2)

Find the gradient of the function,

Gradient =

=

=

=

= -2

Hence the gradient is -2.

A linear function has the form : y = mx + c

where m is the gradient and c is a constant.

You found m, but not c.

To find c the constant, substitute m, and a point ( a coordinate) say the x-intercept (-1, 0) into the form y =mx + c,

0 =

c = -2

Hence the linear function has the equation y= -2x - 2