Th Graphing from Slope-Intercept Form

Front

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

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = 5x - 6?

Back

The y-intercept is -6, which is the value of b in the equation.

Front

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

Back

The slope is -3, indicating the line falls as it moves from left to right.

Front

How do you graph a line using slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the graph of the equation x = 3?

Back

The graph is a vertical line that crosses the x-axis at x = 3.

Front

How do you determine the direction of the slope?

Back

The direction of the slope is determined by the sign of 'm': positive slopes rise, negative slopes fall.