PFF - Point-Slope Form

Front

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

Back

The Point-Slope Form is given by the equation: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you identify the slope from the Point-Slope Form?

Back

In the equation y - y_1 = m(x - x_1), the slope m is the coefficient of (x - x_1).

Front

What does the term 'slope' represent in a linear equation?

Back

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

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

Convert the equation y - 3 = 2(x + 4) to slope-intercept form.

Back

The slope-intercept form is y = 2x + 11.

Front

What point does the line y + 1 = -3(x - 5) pass through?

Back

The line passes through the point (5, -1).

Front

What is the slope of the line represented by the equation y + 9 = 3(x - 1)?

Back

The slope of the line is 3.

Front

Determine the slope of the line given by the equation y - 4 = -2(x + 2).

Back

The slope of the line is -2.

Front

Which point lies on the line y + 5 = -3(x - 6)?

Back

The point (6, -5) lies on the line.

Front

How do you find a point on a line given its equation in Point-Slope Form?

Back

Substitute a value for x into the equation and solve for y to find a corresponding point.