Point slope practice DWU 12/5/23

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

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

How do you identify the slope from the equation y - y1 = m(x - x1)?

Back

The slope m is the coefficient of (x - x1) in the Point-Slope Form.

Front

Given the equation y + 6 = 10(x - 9), what is the slope?

Back

The slope is 10.

Front

What is the significance of the point (x1, y1) in the Point-Slope Form?

Back

The point (x1, y1) is a specific point through which the line passes.

Front

How do you convert Point-Slope Form to Slope-Intercept Form?

Back

To convert, solve for y to get the form y = mx + b.

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line descends steeply from left to right.

Front

What is the equation of a line with a slope of 4 that passes through the point (0, 1)?

Back

The equation is y - 1 = 4(x - 0) or y = 4x + 1.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).