7.7A Linear Equations

Front

What is the y-intercept in the equation y = 5x - 4?

Back

-4

Front

Write the equation for the line in slope-intercept form given the slope is 4 and the y-intercept is 3.

Back

y = 4x + 3

Front

How do you find the slope of a line using rise/run?

Back

The slope is calculated as the change in y (rise) divided by the change in x (run).

Front

What is the slope of the line if the rise is -5 and the run is 3?

Back

-5/3

Front

What is the definition of slope in the context of a linear equation?

Back

Slope is a measure of the steepness of a line, represented as the ratio of the vertical change to the horizontal change.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 1/2, what does this indicate about its steepness?

Back

A slope of 1/2 indicates that for every 2 units moved horizontally, the line moves up 1 unit vertically.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula to convert a linear equation from standard form to slope-intercept form?

Back

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