Graphing Linear Equations

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

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

Back

'm' represents the slope of the line.

Front

In the equation y=mx+b, what does 'b' represent?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the slope from 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 slope of the line represented by the equation 2x - 3y = -12?

Back

The slope is 2/3.

Front

What is the y-intercept of the line represented by the equation y = 5x - 6?

Back

The y-intercept is -6.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, and it does not cross the x-axis.

Front

How can you determine if a line is increasing or decreasing?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.