Which equations represent a linear function?
Equation 1 y=5x-2
Equation 2 y=-1/3x
Equation 3 y=x^2-3
Equation 4 y=1
A 1 and 2
B 2 and 3
C 1, 2 and 3
D 1,3, and 4
What part of my previous answer to your same question did you not understand?
http://www.jiskha.com/display.cgi?id=1429135307
nvm Rein Rein
To determine which equations represent a linear function, we need to understand what defines a linear function.
A linear function is a function that can be represented by a straight line on a graph. It has a constant rate of change, meaning that the y-value changes by the same amount for each unit change in the x-value.
We can identify a linear function by looking at its equation. The general form of a linear function is y = mx + b, where m represents the slope (rate of change) of the line, and b represents the y-intercept (where the line crosses the y-axis).
Let's analyze each equation:
1. Equation 1: y = 5x - 2. This equation is in the form y = mx + b, where m = 5 and b = -2. It represents a linear function.
2. Equation 2: y = -1/3x. This equation is in the form y = mx, where m = -1/3. It represents a linear function.
3. Equation 3: y = x^2 - 3. This equation is not in the form y = mx + b. It is a quadratic equation because of the x^2 term. It does not represent a linear function.
4. Equation 4: y = 1. This equation is in the form y = 1, which is equivalent to y = 0x + 1. It represents a linear function.
Based on the analysis, the equations that represent a linear function are 1, 2, and 4. Therefore, the correct answer is option C: 1, 2, and 3.