graphing linear equations

Front

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

Back

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

Front

What does the slope of a line represent?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0. It can be found by substituting x = 0 into the equation.

Front

Convert the equation 3x + 2y = 8 to slope-intercept form.

Back

The slope-intercept form is y = -\frac{3}{2}x + 4.

Front

If the slope is 2/3 and the y-intercept is -3, what is the equation of the line?

Back

The equation of the line is y = \frac{2}{3}x - 3.

Front

What is the y-intercept of the equation y = -3x + 7?

Back

The y-intercept is 7.

Front

What is the slope of the line represented by the equation y = \frac{3}{2}x + 1?

Back

The slope is \frac{3}{2}.

Front

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

Back

The slope m is calculated as m = \frac{y2 - y1}{x2 - x1}.

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.

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.