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

Answer:

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

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

$y=mx+b$

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