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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

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.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5