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

Convert the equation -3x + 4y = 12 to slope-intercept form.

Back

y = 3/4x + 3

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

How do you identify the slope from the equation y = -x + 2?

Back

The slope is -1, which is the coefficient of x.

Front

What is the graph of the equation y = -x + 2?

Back

The graph is a straight line that crosses the y-axis at (0, 2) and has a slope of -1.

Front

Which equation represents a line with a positive slope?

Back

y = 1/2x represents a line with a positive slope.

Front

What is the equation of a line that has a slope of -2 and a y-intercept of 4?

Back

The equation is y = -2x + 4.

Front

How do you graph the equation y = 2/3x - 3?

Back

Start at the y-intercept (0, -3) and use the slope (rise/run = 2/3) to find another point.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.