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

How do you identify the slope from the equation y = -3x + 4?

Back

The slope (m) is -3.

Front

What does the y-intercept represent in the equation y = -2x + 1?

Back

The y-intercept (b) is 1, which means the graph crosses the y-axis at (0, 1).

Front

How can you determine the slope from the equation y = -x + 2?

Back

The slope (m) is -1.

Front

What is the y-intercept of the equation y = \frac{1}{3}x - 2?

Back

The y-intercept (b) is -2, indicating the graph crosses the y-axis at (0, -2).

Front

If the slope is negative, what does that indicate about the graph?

Back

A negative slope indicates that the graph is decreasing 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 graph the equation y = -2x + 1?

Back

Start at the y-intercept (0, 1) and use the slope -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

Parallel lines have the same slope but different y-intercepts.

Front

How do you convert the equation y = 3x - 5 into slope-intercept form?

Back

The equation is already in slope-intercept form with a slope of 3 and a y-intercept of -5.