Slope Intercept Form

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 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

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, representing the value of y when x = 0.

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 equation of a line with a slope of 2 and a y-intercept of 4?

Back

The equation is y = 2x + 4.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the change in x is 0, making the slope calculation impossible.

Front

Given the slope of 3 and y-intercept of -1, write the equation of the line.

Back

The equation is y = 3x - 1.

Front

What is the graphical representation of a linear equation?

Back

A linear equation is represented by a straight line on a graph.

Front

How can you determine if a graph is linear?

Back

A graph is linear if it forms a straight line without any curves or bends.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.