A16 - Graphing 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

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you identify the slope from the equation y = 2x + 5?

Back

The slope is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4, indicating the line descends as x increases.

Front

Which graph represents the equation y = 3x?

Back

The graph is a straight line passing through the origin with a slope of 3.

Front

How do you convert the equation y = 1/2x + 3 into slope-intercept form?

Back

The equation is already in slope-intercept form with a slope of 1/2 and a y-intercept of 3.

Front

What is the equation of a line with a slope of 3 that passes through the point (0, 2)?

Back

The equation is y = 3x + 2.

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.

Front

What is the equation of a line that is vertical?

Back

The equation of a vertical line is in the form x = a, where a is a constant.