Question

50 points each, give brainliest if correct!
Error analysis: Describe and correct the error in writing a linear function g with the values g(5) = 4 and g(3) = 10.
Make sure to explain the answer or I won't give brainliest.
I already know the answer, if you get wrong, I will tell and explain the answer in comments.

Answer 1

Answer:

Step-by-step explanation:

m = -3

y  -y1 = m(x -x1)

y - 4 = -3(x -5)

y - 4 = -3x + 15

 y = -3x + 15 + 4

y = -3x + 19

g(5) = -3*5 + 19 = -15 + 19 = 4

g(3) = -3*3 + 19  = -9 + 19 = 10

Answer 2

Answer: $g(x)=-3x+19$

Step-by-step explanation:

1) Write the equation to find the slope: $m=\frac{y_2-y_1}{x_2-x_1}$

2) Substitute Info: $m=\frac{10-4}{3-5}$

3) Simplify: $m=3$

4) Write point-slope form: $y-y_1=m(x-x_1)$

5) Substitute info: $y-4=-3(x-5)$

6) Distribute: $y-4=-3x+15$

7) Write in slope intercept form/Add 4 on each side and simplify: $y=-3x+19$

8) Substitute: $g(x)=-3x+19$

9) BONUS!!!!!! Graph: