Algebra Homework

Question

Consider the following equation: 10x+4y=−15

A) Write the above equation in the form y=mx+b. Enter the values of m and b in the appropriate boxes below as integers or reduced fractions (in the form A/B.)

Answer: y=   x + 

Preview m:   ; Preview b:  

B) Use your answer in part (A) to find the ordered pair that lies on this line when x=16.

Answer: (16, )

 

Enter your answer as an integer or a reduced fraction in the form A/B

Answer 1

10x+4y= -15

4y= -10x-15

y= -5/2x-15/4

Y= -5/2 slop y intercept = -15/4

plug x = 16 then get

y= -5/2x-15/4

Y= -40-15/4

Answer 2

A)

10x + 4y = -15

10x - 10x + 4y = -15 - 10x

4y = -15 - 10x

4y/4 = (-15 - 10x) / 4

(4/4)y = (-15 - 10x) / 4

y = (-15 - 10x) / 4

y = (-15/4) - (10x/4)

y= (-10x/4) - (15/4)

y= (-10/4)x - (15/4)

m = -10/4 = -5/2

b = -15/4

B) plug x = 16 into

y= (-5/2)x - (15/4)

y = (-5/2)(16) - (15/4)