Warm Up: Graphing Lines from Slope-Intercept

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 = -\frac{3}{2}x - 5?

Back

The slope is the coefficient of x in the slope-intercept form. In this case, the slope is -\frac{3}{2}.

Front

What does a negative slope indicate about the graph of a line?

Back

A negative slope indicates that the graph of the line is decreasing from left to right.

Front

What is the y-intercept in the equation y = -\frac{3}{2}x - 5?

Back

The y-intercept is the value of y when x = 0. In this case, the y-intercept is -5.

Front

How can you graph a line using the slope-intercept form?

Back

To graph a line using the slope-intercept form, start at the y-intercept (0, b) and use the slope (m) to determine the rise over run.

Front

What does the term 'rise' refer to in the context of slope?

Back

The 'rise' refers to the vertical change between two points on a line.

Front

What does the term 'run' refer to in the context of slope?

Back

The 'run' refers to the horizontal change between two points on a line.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the point where the line crosses the y-axis.

Front

How do you determine if a line is increasing or decreasing based on its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.