Slope intercept form from a graph

Front

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

Back

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

Front

What does the slope (m) represent in the 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

What does the y-intercept (b) represent in the equation y = mx + b?

Back

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

Front

If a line has a slope of 3, what does this mean?

Back

A slope of 3 means that for every 1 unit increase in x, y increases by 3 units.

Front

How do you find the y-intercept from a graph?

Back

The y-intercept can be found by locating the point where the line crosses the y-axis.

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.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope of the line is 4.

Front

What is the y-intercept of the line represented by the equation y = -3x + 6?

Back

The y-intercept of the line is 6.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.