Question

Which is an equation of the line containing the points (4, 10) and (6, 11) in standard form?
(Points : 2)
–x + 2y = 16
2x – y = –2
x + 2y = 24
x – 2y = –16

Answer 1

first find the slope of the line by subtracting the values of the y coordinates and divide by the difference of x coordinates

so we get
(11-10) / (6-4) = 1/2

now use the general foemula

y - y1 = m(x - x1)

where (x1,y1) is some point on the line and m = slope

Answer 2

so plug in m = 1/2 , x1 = 4 and y1 = 10
into the above formula and simplfiy to get the answer

Answer 3

One way to answer this question is to try out the two points in each choice and see if it works. Put x = 4 and y = 10 and see if it works. Then try x = 6, y = 11 in each. The one that satisfies both is the correct answer.

But if you want to know how to find the equations without trying out the answer choices let me know.

Answer 4

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