Solving Slope and Point Slope Equations

Front

What is the Point-Slope form of a linear equation?

Back

The Point-Slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is represented by the coefficient 'm' in the equation.

Front

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

Back

'm' represents the slope of the line.

Front

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

Back

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

Front

How do you convert the equation y - 5 = -3(x - 10) to slope-intercept form?

Back

Distributing gives y - 5 = -3x + 30, then adding 5 results in y = -3x + 35.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

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 does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line.