Linear Equations and Their Solutions

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. In the equation of a line, it is the value of y when x is 0.

Front

How many solutions does a linear equation in two variables have?

Back

A linear equation in two variables can have infinitely many solutions.

Front

What do the equations x = –4 and y = –5 represent graphically?

Back

They represent intersecting lines at the point (-4, -5).

Front

How many variables are needed in a linear equation to consider it a linear equation in two variables?

Back

Two different variables are needed.

Front

When y = 4 in the equation 3x + 2y = 18, what is the value of x?

Back

The value of x is 10/3.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + by = c.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What is the difference between a function and a relation?

Back

A function is a special type of relation where each input has exactly one output.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.