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emmasim [6.3K]
2 years ago
13

Which is the correct graph for the equation?

Mathematics
1 answer:
Soloha48 [4]2 years ago
8 0

Answer:

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the function

2x+5y=15

converting the equation into the slope-intercept form

5y = -2x + 15

divide both sides by 5

y = -2/5x + 3

Thus,

The slope of the line is: m =  -2/5

The y-intercept of the line: b = 3

In other words, the ordered pair (0, 3) represents the y-intercept.

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

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