Graphing Linear Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation, set x = 0 in the equation and solve for y. The value of y at this point is the y-intercept.

Front

What does the 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

If the slope of a line is 3/2, what does this indicate about the line?

Back

A slope of 3/2 indicates that for every 2 units the line moves horizontally to the right, it moves up 3 units vertically.

Front

What is the y-intercept of the line represented by the equation y = -x + 2?

Back

The y-intercept of the line y = -x + 2 is 2, which is the value of y when x = 0.

Front

How do you convert the equation y = 3x + 6 into slope-intercept form?

Back

The equation y = 3x + 6 is already in slope-intercept form, where the slope (m) is 3 and the y-intercept (b) is 6.

Front

What is the graphical representation of the equation y = -x + 2?

Back

The graph of y = -x + 2 is a straight line that slopes downward from left to right, crossing the y-axis at (0, 2).

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as the value of x increases, the value of y decreases, resulting in a downward slant of the line.