The line passing through (0, 2) and (-3, -1) is parallel to the line passing through (-1, 5) and (4, a). Find a.

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Solution

Slope of the line passing through (0, 2) and (-3, -1) = $\frac{- 1 - 2}{- 3 - 0} = 1$

Slope of the line passing through (-1, 5) and (4, a) = $fraction numerator a minus 5 over denominator 4 plus 1 end fraction equals fraction numerator a minus 5 over denominator 5 end fraction$

Since, the lines are parallel.

$1 equals fraction numerator a minus 5 over denominator 5 end fraction a minus 5 equals 5 a equals 10$

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