Slope-Intercept and Standard Form Review

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

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 does the 'm' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

To convert Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, found by setting x = 0.

Front

Given the equation 3x + y = 5, what is the y-intercept?

Back

The y-intercept is (0, 5).

Front

How do you find the x-intercept of the equation 4x - 5y = 40?

Back

Set y = 0 and solve for x: 4x = 40, so x = 10. The x-intercept is (10, 0).

Front

How do you find the slope of the line given two points (-3, 8) and (10, 4)?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (4 - 8) / (10 - (-3)) = -4/13.