What is the equation of the line that is parallel to the line 5X+
2Y= 12 and passage to the point -2, 4

Step-by-step explanation:

To determine the equation of the line parallel to , we need to first determine the slope of the given line.

A line in slope-intercept form is represented by the following:

where is the slope of the line and is the y-intercept.

Rearranging the given line will give us the slope of the line:

From this, since we know the lines are parallel, if the slope of the given line is , then the slope of the line we are constructing must also be .

We can now start to construct the line with the same slope-intercept form:

To determine the y-intercept, , we can plug in the point since we are told from the problem statement that this parallel line runs through it:

Finally, we have our parallel line:

If this line needs to be in standard form, we can rearrange it a little: