CPM - Intro to graphing

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 = -x + 4?

Back

The slope (m) is -1.

Front

What is the y-intercept of the equation y = -3x?

Back

The y-intercept is (0, 0).

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis.

Front

Given the equation y = -2x + 4, what is the slope?

Back

The slope (m) is -2.

Front

How can you determine the y-intercept from the equation y = mx + b?

Back

The y-intercept (b) is the constant term in the equation.

Front

What is the graphical representation of the equation y = 2/3x - 3?

Back

The graph is a straight line with a slope of 2/3 and a y-intercept of -3.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

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.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).