Answer :
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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