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Mathematics

Grade9

Easy

Question

Write an equation of the line that passes through P(-13, 7) and has a slope m = 2.

y = 2x - 3
$y = \frac{1}{2} x + 33$
$y = 2 x + 33$
$y = - \frac{1}{2} x - 33$

hint Hint:

In this question, we have to find the equation of the line when point and slope is given. So, here we will use the point-slope form to find the equation.

The correct answer is: $y equals 2 space x plus 33$

Given , point (-13,7) and slope m = 2
equation of the line by point-slope form is $y minus y subscript 1 equals m left parenthesis x minus x subscript 1 right parenthesis$
$rightwards double arrow$ y-7=2(x-(-13))
$rightwards double arrow$ y-7=2(x+13)
$rightwards double arrow$ y-7=2x+26
$rightwards double arrow$ y=2x+26+7
$rightwards double arrow$ y=2x+33

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