Question

Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel Explain

2x+ 5y = 15
6x + 2y = 4
Are the lines parallel?
A. No, since the product of the slopes of the lines is - 1, the lines are perpendicular.
B. Yes, since both lines have a slope of -2/5
the lines are parallel
C. Yes since both lines have a slope of - 3, the lines are parallel
D. No, the slope of the first line is - and the slope of the second line is -3. Since the slopes are not equal, the lines are not parallel.

Answer 1

D

Explanation:

2x + 5y = 15

5y = -2x + 15

y = -2/5x + 15/5

y = - 2/5x + 3

m = -2/5

6x + 2y = 4

2y = -6x+4

y =. - 6/2x + 4/2

y = - 3x + 2

m = -3