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Select the correct answer.
The slope of FG is 4. Point Fis located at (2,3). Which could be the coordinates of point G?
OA (6,4)
OB. (3,7)
OC. (6,7)
D.(8,12)


Sagot :

Answer:

B

hope it helped

Coordinates of G will be : (3, 7)

What is a slope?

Slope of a line is a number that describes both the direction and the steepness of the line.

Since , slope of line = (y2-y1)/ (x2-x1)      equation 1

According to question :

given :  slope =4

F is located at (2,3), which implies x1 = 2 and y1 = 3

now , substituting the value in equation 1 , we get

4 = y2 - 3 / x2 - 2

4 * x2 - y2 = 5                                 equation 2

Using above options , let us do hit and trial method in order to find answer.

Firstly let us take option A) 6,4

putting value of x2=6 in equation 2 and see if y2 comes 4 or not?

4*(6) - y2 =5

y2 = 24-5

y2 = 19 which is not equal to 4 , hence this is incorrect option.

secondly , let us take option B) 3,7

similarly we get ,

4* 3 - y2 =5

12 -5 = y2

y2=7 hence this is the correct option

B) 3,7 is the answer

let us learn more about slope

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