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shaferxspecial8397
16.11.2020 •
Mathematics
Which of these is a linear equation in
standard form for the graph shown?
Solved
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Ответ:
B
Step-by-step explanation:
Because the slope is a positive slope (goes through the positive quandrants on the graph), we can eliminate answer choices c. Now, if we solve a, b, and d and we can see if the slope + y-intercept matches the graph.
For A.) (solve for y to get a y=mx + b equation)
3x-2y=4
-2y= -3x + 4
y= 3/2 -2
For B.)
3x-2y= -4
-2y= -4-3x
y= 3/2 + 2
For D.)
2x+3y= 4
3y= 4-2x
y= -2/3x + 4/3
Now, if we look at D, the slope is negative so it cannot be D. That leaves us with A and B. The b in the y=mx + b equation stands for the y-intercept, so we can see that the y-intercept is 2. So, since the graph intersects the y-axis at (0,2), the answer is B! y=3/2 + 2 has a positive slope and 2 for the y-intercept!
Ответ: