MATH SOLVE

10 months ago

Q:
# On which of the following lines does the point (7, 1) lie?A.) y = 5x + 4B.) y = -x + 8C.) y = x - 10D.) y = -4x + 3

Accepted Solution

A:

we have that

the point (7, 1)

case A.) y = 5x + 4

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=5*7+4------> y=39

39 is not 1---------> the point does not belong to the line

case B.) y = -x + 8

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=-7+8------> y=1--------> the point belongs to the line

case C.) y = x - 10

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=7-10------> y=-3

-3 is not 1---------> the point does not belong to the line

case D.) y = -4x + 3

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=-4*7+3------> y=-25

-25 is not 1---------> the point does not belong to the line

the answer is the option

B.) y = -x + 8

the point (7, 1)

case A.) y = 5x + 4

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=5*7+4------> y=39

39 is not 1---------> the point does not belong to the line

case B.) y = -x + 8

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=-7+8------> y=1--------> the point belongs to the line

case C.) y = x - 10

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=7-10------> y=-3

-3 is not 1---------> the point does not belong to the line

case D.) y = -4x + 3

if the point (7, 1) lie to the line

so

for x=7 the value of y must be 1

y=-4*7+3------> y=-25

-25 is not 1---------> the point does not belong to the line

the answer is the option

B.) y = -x + 8