Finding Slope and y-intercept From a Graph

Front

What is the slope (m) in a linear equation?

Back

The slope (m) represents the rate of change of the y-coordinate with respect to the x-coordinate. It is calculated as the rise over run.

Front

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

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

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

Back

To find the y-intercept from a graph, locate the point where the line intersects the y-axis.

Front

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

Back

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

Front

If a line has a slope of 3/5, what does this indicate?

Back

A slope of 3/5 indicates that for every 5 units moved horizontally (run), the line rises 3 units vertically (rise).

Front

What is the rise in a slope calculation?

Back

The rise is the vertical change between two points on a line, calculated as the difference in y-coordinates.

Front

What is the run in a slope calculation?

Back

The run is the horizontal change between two points on a line, calculated as the difference in x-coordinates.

Front

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

Back

A negative slope indicates that the line descends from left to right.

Front

How do you simplify the fraction for slope?

Back

To simplify a fraction for slope, divide both the numerator and denominator by their greatest common divisor (GCD).