Slope-intercept

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

Back

'm' represents the slope of the line, indicating the steepness and direction.

Front

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

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 2, what does this indicate about the line?

Back

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

Front

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

Back

The y-intercept is 5, meaning the line crosses the y-axis at (0, 5).

Front

Write the slope-intercept form 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 slope of the line represented by the equation y = 1/2x - 3?

Back

The slope is 1/2.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-value for all x (a horizontal line).