Question

A line passeses through the ponts (2, a) and (4a,5) and has a slope of 1/2 find the value of a

Answer 1

a=2

Explanation:

Slope is found by (y2-y1)/(x2-x1)

Using the points, that is (5-a)/(4a-2) = 1/2

multiply both sides by the denominator 4a-2

5-a = (1/2)(4a-2)

5-a=2a-1

put like terms on opposite sides by adding a to both sides so a terms on the right, adding 1 on both sides so numbers are on the left

6=3a

divide both sides by 3

a=2

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