Question

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

The graph shows the solution to which system of equations?

Answer 1

Answer: C

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

Answer 2

C

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.