Answer:
Part 1) ![y=-4x+4](https://tex.z-dn.net/?f=y%3D-4x%2B4)
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope
b is the y-intercept
we have
![m=-4\\point\ (2,-4)](https://tex.z-dn.net/?f=m%3D-4%5C%5Cpoint%5C%20%282%2C-4%29)
substitute in the linear equation
![-4=-4(2)+b](https://tex.z-dn.net/?f=-4%3D-4%282%29%2Bb)
solve for b
![-4=-8+b\\b=8-4\\b=4](https://tex.z-dn.net/?f=-4%3D-8%2Bb%5C%5Cb%3D8-4%5C%5Cb%3D4)
substitute
![y=-4x+4](https://tex.z-dn.net/?f=y%3D-4x%2B4)
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