Which of the following represents a family of straight lines?
Practice Questions
Q1
Which of the following represents a family of straight lines?
y = mx + c
y = ax^2 + bx + c
y = e^x
y = sin(x)
Questions & Step-by-Step Solutions
Which of the following represents a family of straight lines?
Step 1: Understand what a family of straight lines means. It refers to a set of lines that can be represented by a general equation with varying parameters.
Step 2: Identify the general form of a straight line equation. The common form is y = mx + c, where 'm' is the slope and 'c' is the y-intercept.
Step 3: Recognize that 'm' and 'c' can take different values. Each unique pair of 'm' and 'c' gives a different straight line.
Step 4: Conclude that since 'm' and 'c' can vary, the equation y = mx + c represents a family of straight lines.
