Question

Determine the equation of the linear function that has a slope of -4 and passes through the point (2,-4). Write the equation in slope-intercept form and draw/graph the equation

Answer 1

Part 1)
`y=-4x+4`

Part 2) The graph in the attached figure

Explanation:

Part 1)

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

`m=-4\\point\ (2,-4)`

substitute in the linear equation

`-4=-4(2)+b`

solve for b

`-4=-8+b\\b=8-4\\b=4`

substitute

`y=-4x+4`

Part 2) Draw the equation

we know that

To graph a line we need two points

we have the y-intercept (0,4) and (2,-4)

Plot the points, connect them and join to draw the line

see the attached figure