a simple question but i need help
for which eqn is the graph of a line w/ undefined slope that passes through (5, 1)
a. y=1
b. 5x=y
c. x=5y
d. x=5
and can you show me how you did the problem. thanks
(5,1) is the point on the graph where x = 5 and y = 1.
Plug in x = 5 to each equation and see which one gives you y = 1. Note that one of the equations does not even require a value of x to get determine y.
To find the equation of a line with an undefined slope that passes through the point (5, 1), we can substitute the x-value (5) into each equation and check if it gives us the y-value (1).
a. y = 1:
Substituting x = 5 into this equation, we get y = 1. So, the point (5, 1) satisfies this equation.
b. 5x = y:
Substituting x = 5 into this equation, we get 5(5) = y, which simplifies to 25 = y. The y-value is not equal to 1, so this equation does not hold true for the point (5, 1).
c. x = 5y:
Substituting x = 5 into this equation, we get 5 = 5y, which simplifies to y = 1. So, the point (5, 1) also satisfies this equation.
d. x = 5:
Substituting x = 5 into this equation, we get 5 = 5. However, this equation does not involve y at all.
Therefore, the equation that represents a line with an undefined slope and passes through the point (5, 1) is option c: x = 5y.