Answer:
y=-x/3+7/3
Step-by-step explanation:
Use linear function: y=mx+b
m= -1/3
Substitue
m= -1/3,(8,-5)
5= -1/3 * (-8) +b
Solve the equation
5= -1/3 *(-8) +b
Rearrange unknown terms to the left side of the equation
-b= -1/3 * (-8) -5
Reduce the greatest common factor on both sides of the equation
b= 1/3 * (-8) +5
Remove the parentheses
b= -1/3 *8+5
Write as a single fraction
b= -8/3+5
Convert the expression into a fraction
b=-8/3+5/1
Expand the fraction to get the least common denominator
b= -8/3+5*3/1*3
Calculate product or quotient
b=-8/3+15/3
Write the numerators over the common denominator
b=-8+15/3
Calculate the sum or difference
b=7/3
Subsitute
m= -1/3,b=7/3
y= -1/3x+7/3
Rewrite the equation
y= -1/3x+7/3
Find the required form
y=-x/3+7/3
Hope this helps!!
