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

Answer:

The correct answer is C

Step-by-step 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 $m=\frac{1}{2}$.

To find the required equation: you have to substitute $x_1=5,y_1=1$ and $m=\frac{1}{2}$ into the equation to obtain:

$y-1=\frac{1}{2}(x-5)$

The correct answer is C