Answer:
y = -1/3 -11/3
Step-by-step explanation:
We can find the slope of the line using the two given points
m = (y2-y1)/(x2-x1)
= (-5--3)/ (4--2)
= (-5+3)/(4+2)
=-2/6
= -1/3
Then we can use point slope form to calculate the equation of the line
y-y1 = m(x-x1)
y--3 = -1/3(x--2)
y+3 = -1/3(x+2)
This is in point slope form
Distribute the -1/3
y+3 = -1/3x -2/3
Subtract 3 from each side
y+3-3 = -1/3x -2/3 -3
y = -1/3x -2/3 -9/3
y = -1/3 -11/3
This is in point slope form
