Graphing from 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 (m) represent in a linear equation?

Back

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

Front

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

Back

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

Front

How do you identify the slope from the equation y = 2x + 3?

Back

The slope is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

How do you identify the y-intercept from the equation y = -4x + 1?

Back

The y-intercept is 1, meaning the line crosses the y-axis at the point (0, 1).

Front

What is the slope of the line represented by the equation y = 5x - 2?

Back

The slope is 5.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

How do you graph the equation y = 3x?

Back

Start at the origin (0,0), use the slope of 3 to rise 3 units up for every 1 unit you move right.

Front

What is the slope of the line represented by the equation y = 0.5x + 2?

Back

The slope is 0.5.