Write the standard form of the line that passes through the point (-2, 4) and is parallel to x - 2y = 6. type your answer in the box provided or use the upload option to submit your solution

we know that

The equation of the line in standard form is equal to

where A is a positive integer, and B, and C are integers

Step 1

Find the slope of the given line

we have

Isolate the variable y

The slope of the given line is

Step 2

Find the equation of the line into point slope form

Remember that

If two lines are parallel, then their slope are the same

In this problem we have

substitute

------> equation of the line into point-slope form

------> equation of the line in slope-intercept form

Convert to standard form

Multiply by both sides

therefore

the answer is