PFF - More Linear

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept (b) in the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

If the slope of a line is 4, what does this indicate about the line's steepness?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units, making the line steep.

Front

What is the graphical representation of the equation y = 3x?

Back

The graph is a straight line that passes through the origin (0,0) with a slope of 3.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula m = rise/run.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

If a line has a slope of -3, what does this tell you about its direction?

Back

A slope of -3 indicates that the line descends from left to right, meaning y decreases as x increases.

Front

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

Back

The equation is y = 2x + 5.