Type the correct answer in each box. If necessary, use / for the fraction bar(s). Given: . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of ab is_ . If the coordinates of point D are (5 , 5), the equation of line is y =_ x + _ .
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Given : the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7),
To Find : y-intercept of AB
Solution:
A ( 8 , 0)
B = ( 3, 7)
Slope = ( 7 - 0)/( 3 - 8) = -7/5
Equation of AB
y - 0 = ( -7/5) (x - 8)
=> 5y = -7x + 56
=> 7x + 5y = 56
y-intercept of AB => x = 0
Hence 0 + 5y = 56
=> y = 56/5
y-intercept of AB is 56/5
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