Slope-Intercept Form & Intercepts

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 do the variables 'm' and 'b' represent in the equation y = mx + b?

Back

m represents the slope of the line, and b represents the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 in the equation.

Front

If a line has a slope of 3, what does this indicate about the line?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units.

Front

What is the y-intercept of the line represented by the equation y = -4x + 6?

Back

The y-intercept is 6, which is the value of y when x = 0.

Front

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

Back

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

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4 or y = -x + 4.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

The point (0, b) represents the y-intercept of the line on the graph.