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 'b' represent in the slope-intercept form y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope (m) from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = 3x - 5?

Back

The y-intercept is -5.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

Write the slope-intercept form of an equation for a line with a slope of 4 and a y-intercept of 1.

Back

The equation is y = 4x + 1.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 0.5x + 2?

Back

The y-intercept is 2.

Front

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

Back

A slope of 0 indicates that the line is horizontal.