Slope Intercept Form

Front

What does the letter 'm' represent in the slope-intercept form of a linear equation?

Back

The letter 'm' represents the slope of the line.

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

How do you identify the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept can be identified as the value of 'b' in the equation y = mx + b.

Front

What is the y-intercept of the equation y = -2/3x + 2?

Back

The y-intercept is (0, 2).

Front

Write the slope-intercept form of a line with a slope of -3 and a y-intercept of 0.

Back

The equation is y = -3x.

Front

What is the general process to convert a standard form equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What does the slope of a line indicate about its graph?

Back

The slope indicates the steepness and direction of the line; a positive slope rises from left to right, while a negative slope falls.

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

The slope of the line is 2.

Front

If a line has a slope of 12 and a y-intercept of 10, what is its slope-intercept form?

Back

The slope-intercept form is y = 12x + 10.