220k views
1 vote
Is 3x+y=5 parallel to y=3x+9

User Gravitron
by
8.1k points

2 Answers

6 votes

Answer:

No, they are not parallel to each other.

Explanation:

Used desmos graphing calculator.

3x+y=5 is equivalent to y = -3x + 5

The other equation is y = 3x + 9

The two x's are opposite, and will cross.

Is 3x+y=5 parallel to y=3x+9-example-1
User TUSqasi
by
7.5k points
3 votes

Explanation:

In the equation 3x + y = 5, we can rearrange it to slope-intercept form:

y = -3x + 5

Now, we can see that the slope of this line is -3 (the coefficient of x).

In the equation y = 3x + 9, the slope is 3 (the coefficient of x).

For two lines to be parallel, their slopes must be equal. In this case, the slope of the first line is -3, and the slope of the second line is 3. These slopes are not equal; they are negatives of each other. Therefore, the two lines are not parallel.

User JEricaM
by
8.1k points

No related questions found