Question

Misty correctly determined the equation of the linear function represented by the table of values below to be mc010-1.jpg in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).
x
y
1
7
2
5
3
3
4
1
What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
mc010-2.jpg
mc010-3.jpg
mc010-4.jpg
mc010-5.jpg

Answer 1

Answer:

y = -2x + 9

she would have got same equation

Step-by-step explanation:

y = mx + c

m = (y2 - y1 )/ (x2 - x1)

using (1 , 7) & (2,5)

y2 = 5 y1 = 7 so y2 -y1 = -2

x2 = 2 x1 = 1 so x2 - x1 = 1

m - -2/1 = -2

y = -2x + c

when x =1 y = 7

so 7 = -2 + c

=> c =9

y = -2x + 9

if ordered pairs (2, 5) and (4, 1) used

m = (1-5)/(4-2)

=> m = -4/2

=> m = -2

y = -2x + c

for x =2 y =5

5 = -2*2 + c

=> c = 9

y = -2x + 9

she would have got same equation