Are the two lines parallel, perpendicular, or neither? explain your answer. show work needed to answer the question.
3 + 7 = 15
7 − 3 = 6

The lines are perpendicular

Step-by-step explanation:

The correct question is

Are the two lines parallel, perpendicular, or neither? Explain your answer

3x + 7y = 15

7x − 3y = 6

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

Remember that

The equation of the line in slope intercept form is equal to

where m is the slope

b is the y-intercept

we have

----> equation A

isolate the variable y and convert the equation in slope intercept form

The slope of the line A is

---> equation B

isolate the variable y and convert the equation in slope intercept form

The slope of the line B is

Compare the slopes

---> the lines are not parallel

so

The slopes are opposite reciprocal

therefore

The lines are perpendicular

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is