What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? y = – x – 1 y = – x + 5 y = x – 1 y = x + 5

 The equation of the line is

Step-by-step explanation:  We are given to find the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4).

The slope-intercept form of a straight line is

where 'm' is the slope of the line and 'c' is the y-intercept.

From the given equation, we have

So, the slope of the line is given by

We know that the slopes of two parallel lines are equal.

Therefore, the equation of the line parallel to the line 5x + 2y = 12 and passing through the point (-2, 4) is given by

Thus, the required equation of the line is

i believe the answer is d.

hope it you! : d

d. all of the above

step-by-step explanation: