Review: Slope Intercept Form

Front

What does the slope (m) represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

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

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line and using the formula (change in y) / (change in x).

Front

What does the y-intercept (b) represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

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

Back

The y-intercept can be found directly as the value of b in the equation y = mx + b.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope of the line is 2.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

What is the y-intercept of the equation y = -4x + 3?

Back

The y-intercept is 3.

Front

How do you graph the equation y = -3?

Back

The graph of y = -3 is a horizontal line that crosses the y-axis at -3.

Front

What is the slope of the line represented by the equation y = (2/3)x - 5?

Back

The slope of the line is 2/3.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert, solve for y: 3y = -2x + 6, then y = (-2/3)x + 2.