Graphing Lines in slope intercept form

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 of a line represent?

Back

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

Front

How do you find the y-intercept of a line from its equation?

Back

The y-intercept is the value of y when x = 0, which can be found directly from the equation in slope-intercept form (y = mx + b) as b.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the y-intercept of the equation y = 1/3x - 2?

Back

The y-intercept is -2.

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

If a line has a slope of 1/3, what does this mean in terms of rise over run?

Back

It means that for every 3 units you move to the right (run), the line rises 1 unit (rise).