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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

The graph shows the solution to which system of equations?

PLEASE HELP ASAP CORRECT ANSWERS ONLY PLEASE The graph shows the solution to which system of equations class=

Respuesta :

MrsStrong

Answer:

C

Step-by-step explanation:

The lines drawn have the following features:

  • Y-intercepts of 1 and -3
  • Slopes of -2 and 2.

Since the equation of a line has the form y=mx+b where b is y-intercept and m is the slope, we can write

y=-2x+1

y=2x-3

This is the system of equations and is answer choice C.

tramserran

Answer: C

Step-by-step explanation:

Slope-Intercept form of an equation is y = mx + b

  • m is slope (rise over run)
  • b is y-intercept (where it crosses the y-axis)

Red line:

It crosses the y-axis at -3 so b = -3

Now count the rise over run from the b (0, -3) to another point (I chose (1, -1) because it was the next point on a lattice line). The rise is 2 and the run is 1. So. rise over run is 2/1  ⇒ m = 2

Equation: y = 2x - 3

Yellow line:

Follow the same steps as the Red line to get b = 1 and m = -2

Equation: y = -2x + 1

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