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Maths-

General

Easy

Question

Write an equation of the line in slope-intercept form that passes through the point (-3, 5) and is parallel to $y equals negative 2 over 3 x$ .

hint Hint:

The slope of a line is defined as the change in y-values divided by x –values.

The correct answer is: y = -2/3x + 3

We have been given in the question two points for which we have to write an equation of the line in slope-intercept form that passes through the point (-3, 5) and is parallel to $y equals negative 2 over 3 x$

Step 1 of 1:
We have to find a line passes through a point (-3, 5) and parallel to a line $y equals negative 2 over 3 x$
Since two parallel lines have same slope.
So, Slope of the line will be $fraction numerator negative 2 over denominator 3 end fraction$
Therefore the equation of the line will be
$y minus 5 equals fraction numerator negative 2 over denominator 3 end fraction left parenthesis x plus 3 right parenthesis$
$y equals fraction numerator negative 2 over denominator 3 end fraction x plus 3$ .

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