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Mathematics

Grade10

Easy

Question

Identify the following line that is PARALLEL to the graph of $y equals negative 6 x plus 3$ and goes through the point (-1, 4)?

$y = 1 / 6 x + 25 / 6$
$y = 1 / 6 x + 4$
$y = - 6 x - 2$
$y = - 6 x + 4$

hint Hint:

We need to find the line starting from the given point and parallel to the given line. For this we will first find the slope of the new line which is equals to the slope of the given line as they are parallel, then by using point slope form we can find the equation of the new line.

The correct answer is: $y equals negative 6 x minus 2$

Start with point form. Use the given point and the slope of the parallel line.
$y minus y subscript 1 equals m open parentheses x minus x subscript 1 close parentheses$
$y minus 4 equals negative 6 left parenthesis x plus 1 right parenthesis$
$y equals negative 6 x minus 6 plus 4$
$y equals negative 6 x minus 2$
The equation of the line is $y equals negative 6 x minus 2$

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