Graphing Linear Equations

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept can be found directly from the equation as the value of b.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

In the equation y = mx + b, what does 'm' stand for?

Back

In the equation, 'm' represents the slope of the line.

Front

What is the slope of the line represented by the equation y = -3x + 7?

Back

The slope of the line is -3.

Front

How can you determine the slope from two points on a line, (x1, y1) and (x2, y2)?

Back

The slope can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 2 and a y-intercept of 5?

Back

The equation of the line is y = 2x + 5.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the graph, and use the slope to find another point.

Front

What is the standard form of a linear equation?

Back

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

Front

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

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.