Graphing Slope-Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 = mx + b?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

How can you determine the direction of a line from its slope?

Back

If the slope is positive, the line rises from left to right; if the slope is negative, the line falls from left to right.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope of the line is -2.

Front

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

Back

The y-intercept of the equation y = 3x is 0, as it can be rewritten as y = 3x + 0.

Front

How do you graph the equation y = -3x + 4?

Back

To graph y = -3x + 4, start at the y-intercept (0, 4) and use the slope of -3 to find another point by going down 3 units and right 1 unit.

Front

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

Back

The slope of the line is -1.

Front

How do you find the graph of the equation y = (1/3)x - 2?

Back

To graph y = (1/3)x - 2, start at the y-intercept (0, -2) and use the slope of 1/3 to find another point by going up 1 unit and right 3 units.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables in real-world applications.