Question

Which equation represents a line that passes through (5, 1) and has a slope of 1/2?

y – 5 = 1/2(x –1)

y – 1/2 = 5(x –1)

y – 1 = 1/2(x –5)

y – 1 = 5(x-1/2)

Answer 1

The correct answer is C

Explanation:

If a straight line passes through
`(x_1,y_1)` and has a slope of
`m` , its equation is;

`y-y_1=m(x-x_1)`

In this case, we have
`(x_1,y_1)=(5,1)` and
`m=(1)/(2)`.

To find the required equation: you have to substitute
`x_1=5,y_1=1` and
`m=(1)/(2)` into the equation to obtain:

`y-1=(1)/(2)(x-5)`

The correct answer is C