Matching Graphs, tables, and equations

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

Match the equation y = x - 1 to its graph.

Back

The graph is a straight line with a slope of 1 and a y-intercept of -1.

Front

What is the equation of a line with a slope of -1/2 and a y-intercept of -1?

Back

The equation is y = -1/2x - 1.

Front

How do you determine the slope from a graph?

Back

The slope is determined by the rise over run between two points on the line.

Front

What is the equation of a line that passes through the origin?

Back

The equation is y = mx, where m is the slope.

Front

Match the equation y = -x + 1 to its graph.

Back

The graph is a straight line with a slope of -1 and a y-intercept of 1.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you find the equation of a line given two points?

Back

Use the slope formula (m = (y2 - y1)/(x2 - x1)) and point-slope form (y - y1 = m(x - x1)).