Which statement best describes the graph of 2𝑥−5𝑦=−25 and the graph of 𝑦=52𝑥+5?

The graphs show the same line.

The graphs show lines with different slopes, but the same y-intercept.

The graphs show lines with the same slope, but different y-intercepts.

The graphs show lines with different slopes and different y-intercepts.

Which best describes how you would graph (5, -3)

Well, well, well, let's take a look at these lines. The first equation, 2𝑥−5𝑦=−25, can be rearranged to 𝑦 = (2/5)𝑥 + 5. Now, compare it with the second equation, 𝑦=52𝑥+5. Clearly, the slopes are different, with the first one having a slope of (2/5) and the second one having a slope of 52. So, we can rule out options one and three. The only option that's left is option four, which says the graphs show lines with different slopes and different y-intercepts. You got it!

To determine which statement best describes the graph of the given equations, we need to analyze the equations and compare their slopes and y-intercepts.

Let's start with the first equation, 2𝑥−5𝑦=−25. We can rewrite this equation in slope-intercept form (𝑦=𝑚𝑥+𝑏), where 𝑚 is the slope and 𝑏 is the y-intercept.

First, let's isolate 𝑦 in the equation:
2𝑥−5𝑦=−25
−5𝑦=−2𝑥−25
𝑦= (2/5)𝑥 + 5

From this equation, we can determine that the slope (𝑚) is 2/5 and the y-intercept (𝑏) is 5.

Now let's analyze the second equation, 𝑦=52𝑥+5. This equation is already in slope-intercept form.

From this equation, we can determine that the slope (𝑚) is 52 and the y-intercept (𝑏) is 5.

Comparing the slopes and y-intercepts of the two equations, we see that the slopes are different (2/5 vs. 52) and the y-intercepts are the same (5).

Therefore, the correct statement is: The graphs show lines with different slopes, but the same y-intercept.

They give choices involving slopes and y-intercepts. So, rewrite the equations in the slope -intercept form.

y = 2/5 x + 5
y = 5/2 x + 5

Clearly the answer is B

Learn how to type fractions, ok?