Writing An Equation From A Graph

Front

What is the equation of a line in slope-intercept form?

Back

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

The slope of the line, indicating the steepness and direction.

Front

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

Back

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

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

Front

What is the slope of the line represented by the equation y = -4/5x + 3?

Back

The slope is -4/5.

Front

If a line has a slope of 2, what is the equation of the line that passes through the point (0, -3)?

Back

y = 2x - 3.

Front

What is the y-intercept of the line y = 3x - 4?

Back

The y-intercept is -4.

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 equation of a line with a slope of 1 and a y-intercept of 7?

Back

y = x + 7.

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.