Graphing Lines in slope intercept form

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 from the equation y = mx + b?

Back

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

Front

What is the y-intercept of the equation y = -2x + 1?

Back

The y-intercept is 1.

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 graph the equation y = 2x - 3?

Back

Start at the y-intercept (0, -3) and use the slope (2) to rise 2 units and run 1 unit to the right.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The slope is -rac{1}{2}.

Front

If a line crosses the y-axis at -5, what is the y-intercept?

Back

The y-intercept is -5.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 2?

Back

The equation is y = 3x + 2.