Writing Linear Equations from Graph

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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 the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

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

Back

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

Front

How do you find the slope from two points on a graph?

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 slope-intercept form of a linear equation?

Back

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

Front

How can you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as the value of x increases, the value of y also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as the value of x increases, the value of y decreases, resulting in a downward slant of the line.

Front

What is the equation of a line with a slope of 0?

Back

The equation of a line with a slope of 0 is a horizontal line, which can be written as y = b, where b is the y-value for all x.

Front

What is the equation of a line with an undefined slope?

Back

The equation of a line with an undefined slope is a vertical line, which can be written as x = a, where a is the x-value for all y.