Accelerated Point of Intersection + Review

Front

What is the equation that models the relationship between hours (h) and money (m) if m = 9h?

Back

The equation is m = 9h, indicating that for every hour worked, $9 is earned.

Front

How do you convert the equation y = mx + b into slope-intercept form?

Back

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

Front

What does an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates a vertical line, meaning the x-value does not change regardless of the y-value.

Front

Given the equation y = 5x, what is the slope of the line?

Back

The slope of the line is 5.

Front

How do you find the point of intersection of two lines?

Back

To find the point of intersection, solve the equations of the two lines simultaneously to find the values of x and y.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x; it shows how steep the line is.

Front

What does the y-intercept represent in a linear equation?

Back

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

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.

Front

What is the formula for calculating 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 it mean if two lines intersect at a single point?

Back

If two lines intersect at a single point, it means they have different slopes and thus only meet at that point.