The endpoints of ab are a(1,4) and b(6,-1). if point c divides ab in the ratio 2: 3, the coordinates of c are ? . if point d divides ac in the ratio 3: 2, the coordinates of d are ? .

The coordinate C:(3,2) and coordinate

Step-by-step explanation:

1. The endpoints of AB are A(1,4) and B(6,-1)

If point C divide AB in the ratio 2:3

Formula:

Where,

2. The endpoints of AC are A(1,4) and B(3,2)

If point D divide AC in the ratio 3:2

Hence, The coordinate C:(3,2) and coordinate D:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

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step-by-step explanation: