Which of the following represents a linear equation?
Practice Questions
Q1
Which of the following represents a linear equation?
y = 2x + 3
y = x^2 + 1
y = sqrt(x)
y = ln(x)
Questions & Step-by-Step Solutions
Which of the following represents a linear equation?
Step 1: Understand what a linear equation is. A linear equation is an equation that makes a straight line when graphed.
Step 2: Know the standard form of a linear equation, which is y = mx + b. Here, 'm' is the slope and 'b' is the y-intercept.
Step 3: Identify the components of the equation. In y = mx + b, 'y' and 'x' are variables, 'm' is a number that shows how steep the line is, and 'b' is a number that shows where the line crosses the y-axis.
Step 4: Check if the given equation fits the form y = mx + b. For example, y = 2x + 3 has 'm' as 2 and 'b' as 3.
Step 5: Conclude that since y = 2x + 3 fits the form of a linear equation, it is indeed a linear equation.
