Matching graphs and equations

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope is -2.

Front

What does the y-intercept represent in the equation y = -2x + 1?

Back

The y-intercept is 1, which is the point where the line crosses the y-axis.

Front

How do you identify a vertical line from its equation?

Back

A vertical line has an equation of the form x = a, where 'a' is a constant.

Front

What is the slope of the line represented by the equation y = x?

Back

The slope is 1.

Front

What does the equation y = -x represent?

Back

It represents a line with a slope of -1 that passes through the origin.

Front

How can you determine the equation of a line from its graph?

Back

Identify the slope and y-intercept from the graph.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the equation y = 2x + 1 represent?

Back

It represents a line with a slope of 2 and a y-intercept of 1.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.