Graphing Linear Equations

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

In the equation y = -2x + 6, what does the number 6 represent?

Back

The number 6 represents the y-intercept of the line.

Front

In the equation y = -2x + 6, what does the number -2 represent?

Back

The number -2 represents the slope of the line.

Front

What is the slope of a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is (y2 - y1) / (x2 - x1).

Front

What is the definition of the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, where y = 0.

Front

How do you find the y-intercept from an equation in slope-intercept form?

Back

Set x = 0 in the equation and solve for y.

Front

What is the graphical representation of the equation y = -¾x + 1?

Back

The graph is a straight line with a slope of -¾ and a y-intercept of 1.