Slope-Intercept Review

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

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the equation y = mx + b?

Back

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

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 5, what does this indicate about the line's steepness?

Back

A slope of 5 indicates that for every 1 unit increase in x, y increases by 5 units, making the line steep.

Front

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

Back

The y-intercept is 3, which is the point (0, 3) on the graph.

Front

How can you determine the x-intercept of a line given its equation?

Back

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

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.