Pregunta
Graph the line by plotting any two ordered pairs that satisfy the equation. \[ 7 x+2 y=-7 \] Answer 2 Points
Ask by Lawson Bates. in the United States
Mar 03,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Plot the points (0, -3.5) and (1, -7) on the coordinate plane and draw a straight line through them to graph the equation 7x + 2y = -7.
Solución
To graph the line given by 7x + 2y = -7, we can start by finding two points that satisfy the equation.
Step 1: Let x = 0.
Then the equation becomes:
7(0) + 2y = -7
2y = -7
y = -7/2
So one point is (0, -7/2).
Step 2: Let x = 1.
Then the equation becomes:
7(1) + 2y = -7
7 + 2y = -7
2y = -7 - 7 = -14
y = -7
So another point is (1, -7).
You can now plot the points (0, -7/2) and (1, -7) on the coordinate plane, and draw a straight line passing through them to graph the line 7x + 2y = -7.
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Simplifique esta solución Beyond the Answer
To graph the line represented by the equation \( 7x + 2y = -7 \), we can find two ordered pairs that satisfy the equation. 1. Start by letting \( x = 0 \): \[ 7(0) + 2y = -7 \implies 2y = -7 \implies y = -\frac{7}{2} = -3.5 \] This gives us the point \( (0, -3.5) \). 2. Now, let \( y = 0 \): \[ 7x + 2(0) = -7 \implies 7x = -7 \implies x = -1 \] This gives us the point \( (-1, 0) \). So, the two points you can plot are \( (0, -3.5) \) and \( (-1, 0) \).
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