Graphing 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

What does the slope (m) represent in a linear equation?

Back

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

Front

How do you find the y-intercept (b) in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How do you graph a line using the slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What is the slope of the line represented by the equation y = 3x?

Back

The slope is 3.

Front

What does a negative slope indicate about a line?

Back

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

Front

Which graph represents the equation y = -2x + 1?

Back

The graph will have a y-intercept of 1 and a slope of -2.

Front

What is the correct equation for a line with a slope of 1 and a y-intercept of 7?

Back

The equation is y = x + 7.

Front

How do you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form.