It would be choice "D". When you change all these equations into slope-intercept form (Y=mx+b or Y equals the slope times "X" plus the y-intercept), choice "D" is the only one with the same slope which is the the value of "m" in slope-intercept form. In this case, when both equations in choice "D" is changed to slope-intercept form, both equations' slopes become -2. When slopes of two equations are the same, the lines are parallel to each other when graphed.
Answer:1. Y=2x+5 and Y=2x+6 2. Y=-2x-5 and Y=2x+6 3. Y=2x-5 and y=-2x+6 4. Y=-2x-5 and Y= -2x+6
Step-by-step explanation:
The pairs of lines that are parallel are found in options A (slope of 2) and D (slope of -2). Both pairs have lines with the same slope, which is the criteria for parallel lines. Therefore, options A and D can be chosen as correct answers for parallel lines.
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