Write Equation from Graph

Front

What is the general form of a linear equation?

Back

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

Front

How do you determine the slope of a line from its equation?

Back

The slope of a line can be determined from its equation in the form y = mx + b, where m represents the slope.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you find the y-intercept from a linear equation?

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

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

How do you write the equation of a line given two points?

Back

To write the equation of a line given two points (x1, y1) and (x2, y2), first calculate the slope m = (y2 - y1) / (x2 - x1), then use the point-slope form y - y1 = m(x - x1).