Question

Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, - 7)?
O A. y-10 - -2(x-5)
B. y-5 = 2(x-10)
O C. y-10 - 2(x - 5)
O D. y-5--2(x-10)

Answer 1

Answer:

Step-by-step explanation:

In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,

$m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2$ So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)

y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):

y - (-7) = 2(x - 4) and simplified:

y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B