Unit 4A - Linear Equations

Front

What is the y-intercept in the graph?

Back

The y-intercept is the point where the line crosses the y-axis. In this case, it is 2.

Front

What is the average rate of change for a climber who goes from 400 feet to 700 feet in 4 hours?

Back

The average rate of change is 75 feet per hour.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the line crosses the x-axis. For graph A, the x-intercept is -5.

Front

What is the equation of the line passing through points (1,1) and (3,-5)?

Back

The equation is y = -3x + 4.

Front

What is the equation of the line with a slope of 3 that goes through the point (5,4)?

Back

The equation is y = 3x - 11.

Front

Define slope in the context of linear equations.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the change in one variable is proportional to the change in another variable, resulting in a straight line when graphed.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.