A line passes through (2,8) and (4,12) which equation best represents the line

Mathematics

2 answers:

horsena [70]3 years ago

5 0

Answer: y=2x+4

make a table of both the points, find the difference between each x and y. For this its x=2 and y=4 so 4/2 equals 2 so you have your mx for y=mx+b. So far we have y=2x+b now we just need to find b. Since this is a linear equation all you have to do is go backwards. We have (2,8) and (4,12) so (0,4) would be b since (1,6) is just going down by the mx.

Dmitry [639]3 years ago

4 0

Answer:

y=2x+4

Step-by-step explanation:\solving for the slope you get (12-8)/(4-2)=4/2=2

solving for the y intercept you subtract 4 from 8 because 2*2 is 4 and (2,8) is 2 x values away from the y intercept so 8-4=4 so the y intercept is 4

so y=2x+4

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What is the most precise name for quadrilateral ABCD with vertices A(–5,2), B(–3, 5),C(4, 5),and D(2, 2)?

bonufazy [111]

Answer: ABCD is a parallelogram.

Step-by-step explanation:

First we plot these point on a graph as given in attachment.

From the attachment we can observe that AD || BC || x-axis .

also, AB ||CD, that will make ABCD a parallelogram , but to confirm we check the property of parallelogram "diagonals bisect each other" , i.e . "Mid point of both diagonals are equal".

Mid point of AC= $(\dfrac{-5+4}{2},\dfrac{2+5}{2})=(\dfrac{-1}{2},\dfrac{7}{2})$