Write the equation of a line that passes through the point (-2,6) and is parallel to the line that passes through the points (0, – 4) and 3,2).

Y = 9 + 2/3

Step-by-step explanation:

First, find the equation for the given points ((0, - 4) and (3, 2)). By graphing these points, I found that this equation was Y = -4 + 2/3.

Now, we can start to form the equation of the line you are trying to find. Because parallel lines must have the same slope, we know that the slope of the line will be 2/3. We can now use this slope to find the Y-intercept of the line. Add 2 to the X-coordinate and 3 to the Y-coordinate. By doing this you get the coordinates (0, 9). 9 is the slope of the second line.

Now we can make the equation you are trying to find. The answer is Y = 9 + 2/3 where 9 represents the Y-intercept and 2/3 represents the slope of the line.

Hope this helps! Let me know.

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step-by-step explanation: