Slope and y=mx+b

Front

What is the formula for the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is and the direction it goes (positive or negative).

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 find the y-intercept of a line given its equation?

Back

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

Front

What is the y-intercept of the line y = -2x - 9?

Back

The y-intercept is -9, which is the value of y when x = 0.

Front

How do you write the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the slope and one of the points to write the equation in slope-intercept form.

Front

What is the slope of the line that passes through the points (0, 10) and (6, 34)?

Back

The slope is 4, calculated as m = (34 - 10) / (6 - 0).

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope indicates the line rises from left to right, a negative slope indicates it falls from left to right, and a zero slope indicates a horizontal line.

Front

What is the slope of the line that passes through the points (-12, -5) and (0, -8)?

Back

The slope is -1/4, calculated as m = (-8 - (-5)) / (0 - (-12)).

Front

How do you convert a slope-intercept equation to standard form?

Back

To convert to standard form, rearrange the equation to the form Ax + By = C, where A, B, and C are integers.