on which of the following lines does the point (7,1) lie?

a. y - 5x =4
b.y= x - 10
c. y= -4x + 3****
d. y= -x + 8

Try the point in each equation.

a. 1 - 35 = 4 ? NO
b. 1 = 7-10 ? NO
c. 1 = -28 + 3 ? NO
d. 1 = -7 + 8 ? YES

where you just guessing ??

yes i was guessing

To determine on which line the point (7,1) lies, we can substitute the values of x and y into each of the given equations and check which equation holds true.

a. y - 5x = 4
Substituting x = 7 and y = 1:
1 - 5(7) = 4
1 - 35 = 4
-34 = 4 (incorrect)

b. y = x - 10
Substituting x = 7 and y = 1:
1 = 7 - 10
1 = -3 (incorrect)

c. y = -4x + 3
Substituting x = 7 and y = 1:
1 = -4(7) + 3
1 = -28 + 3
1 = -25 (incorrect)

d. y = -x + 8
Substituting x = 7 and y = 1:
1 = -(7) + 8
1 = 1 (correct)

Therefore, the point (7,1) lies on the line y = -x + 8.