Interpreting graphs, real life situations& Writing Equations

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 slope of a line given 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 slope of a line represent in a real-life context?

Back

The slope represents the rate of change, indicating how much y changes for a unit change in x.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Write the equation of a line with slope 2/3 that passes through the point (6, 1).

Back

y = (2/3)x - 3.

Front

Write the equation of a line with slope 4 that passes through the point (3, 12).

Back

y = 4x. (Note: The correct equation is y = 4x - 0, since it passes through (3, 12).)

Front

Write the equation of a line with slope -2 that passes through the point (3, -1).

Back

y = -2x + 5.

Front

What is the significance of the slope being positive?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.