19.5k views
0 votes
Best description for this :,)

Best description for this :,)-example-1

2 Answers

3 votes

To determine the relationship between the graphs of the equations 5x-3y = -5 and 2x-y = 8, we can compare their slopes. The slope of a linear equation is the coefficient of x when the equation is written in slope-intercept form (y = mx + b).

Let's rewrite the equations in slope-intercept form:

5x-3y = -5

-3y = -5 - 5x

y = (5/3)x + 5/3

2x-y = 8

-y = -8 - 2x

y = 2x + 8

By comparing the coefficients of x, we can see that the slope of the first equation is 5/3 and the slope of the second equation is 2.

If two lines have different slopes, they are not parallel. If the product of their slopes is -1, they are perpendicular.

In this case, the slopes are not equal and their product is not -1. Therefore, the graphs of the two equations are intersecting but not perpendicular.

Hence, the correct answer is: intersecting but not perpendicular.

User Luccas Correa
by
7.3k points
2 votes

Answer:

Intersecting but not perpendicular.

Explanation:

The slopes are not the same (parallel) or negative reciprocals (perpendicular).

User Pretty Angela
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories