Question

question 1a short answer system 1: y = 2x + 3 y = 2x + 3 list the slope and y - intercept for each equation, determine the type of system, and explain your reasoning. write your short answer response...

Explanation:

Step1: Identify slope-intercept form

The slope-intercept form is $y=mx+b$, where $m$ = slope, $b$ = y-intercept.

Step2: Extract values for first equation

For $y=2x+3$, $m=2$, $b=3$.

Step3: Extract values for second equation

For $y=2x+3$, $m=2$, $b=3$.

Step4: Classify the system

Equations are identical, so they coincide.

Answer:

1. For the first equation $y=2x+3$:

Slope = 2, y-intercept = 3

1. For the second equation $y=2x+3$:

Slope = 2, y-intercept = 3

1. Type of system: Consistent and Dependent System

Reasoning: The two equations are identical, meaning they represent the same line. Every point on the line is a solution, so there are infinitely many solutions, classifying it as a consistent and dependent system.