Graphing Slope-Intercept Form

Front

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

Back

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

Front

What does the slope (m) represent in the equation y = mx + b?

Back

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

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you find the y-intercept of the equation y = -2x + 5?

Back

Set x = 0 in the equation: y = -2(0) + 5, so the y-intercept is 5.

Front

What is the slope of the line represented by the equation y = 3x - 1?

Back

The slope is 3, indicating that for every 1 unit increase in x, y increases by 3 units.

Front

How do you graph the equation y = -x + 2?

Back

Start at the y-intercept (0, 2), then use the slope (-1) to go down 1 unit and right 1 unit to plot the next point.

Front

What is the first step in graphing a linear equation in slope-intercept form?

Back

The first step is to plot the y-intercept (b) on the y-axis.

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 graph of y = -3x + 4?

Back

The graph is a straight line that crosses the y-axis at (0, 4) and has a slope of -3.

Front

How do you determine the direction of a line based on its slope?

Back

If the slope is positive, the line rises; if negative, the line falls.