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 (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 a linear equation?

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 identify the slope from the equation y = 4x + 3?

Back

The slope is 4, which means for every 1 unit increase in x, y increases by 4 units.

Front

How do you identify the y-intercept from the equation y = -2x + 1?

Back

The y-intercept is 1, meaning the line crosses the y-axis at the point (0, 1).

Front

What is the slope of the line represented by the equation y = -x + 2?

Back

The slope is -1, indicating the line decreases as x increases.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning y remains constant regardless of x.

Front

What is the graph of the equation y = 3x?

Back

The graph is a straight line that passes through the origin (0,0) with a slope of 3.

Front

How do you graph the equation y = -2x + 1?

Back

Start at the y-intercept (0, 1) and use the slope of -2 to find another point: down 2 units and right 1 unit.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope but different y-intercepts.