Matching a Graph with Equation in Slope Intercept form

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope from the equation y = 5x - 3?

Back

The slope (m) is 5.

Front

What does the y-intercept represent in the equation y = 5x - 3?

Back

The y-intercept (b) is -3, which means the graph crosses the y-axis at (0, -3).

Front

How can you determine the slope from the equation y = -3/2x - 2?

Back

The slope (m) is -3/2.

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that the graph is decreasing from left to right.

Front

What is the y-intercept in the equation y = -3/2x + 4?

Back

The y-intercept (b) is 4, meaning the graph crosses the y-axis at (0, 4).

Front

How do you find the graph of y = 3/2x + 4?

Back

Identify the slope (3/2) and y-intercept (4) to plot the graph.

Front

What does the equation x = 15 represent graphically?

Back

The equation x = 15 represents a vertical line that crosses the x-axis at (15, 0).

Front

How can you tell if a graph has a slope of 0?

Back

A graph with a slope of 0 is a horizontal line, indicating no change in y as x changes.

Front

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

Back

The slope indicates the rate of change of y with respect to x.