The coordinates of two points E and F are (0, 4) and
(3, 7) respectively. Find
(i) the gradient of EF ;
(ii) the equation of EF;
(iii) the coordinates of the point where the line EF
intersects the x-axis.
Answers
Given : The coordinates of two points E and F are (0, 4) and (3, 7) respectively.
To Find : (i) the gradient of EF ;
(ii) the equation of EF;
(iii) the coordinates of the point where the line EF intersects the x-axis.
Solution:
E (0 , 4)
F ( 3 , 7)
the gradient of EF = Slope = ( 7 - 4)/(3 - 0) = 3/3 = 1
the gradient of EF = 1
y - 4 = 1(x - 0)
=> y - 4 = x
=> y - x = 4
the equation of EF y - x = 4
(iii) the coordinates of the point where the line EF intersects the x-axis.
=> y = 0
Hence 0 - x = 4
=> x = - 4
the coordinates of the point where the line EF intersects the x-axis. = (-4, 0)
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Answer:
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