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solmaris [256]
3 years ago
6

Find the value of a if the line joining the points (3a,4) and (a,-3) has a gradient of 1

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Recall that the slope or gradient of a line segment through two points is the ratio of the change in the <em>y</em> coordinate to the change in the <em>x</em> coordinate.

If the gradient is 1, then

1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)

Solve for <em>a</em> :

1 = -7 / (-2<em>a</em>)

1 = 7/(2<em>a</em>)

2<em>a</em> = 7

<em>a</em> = 7/2

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