Point-Slope Form Practice

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 a point-slope equation?

Back

The slope is the coefficient of (x - x1) in the point-slope form equation.

Front

Given the equation y - 3 = 4(x + 2), what is the slope?

Back

The slope is 4.

Front

What point is used in the equation y + 1 = -3(x - 5)?

Back

The point used is (5, -1).

Front

Convert the point-slope equation y - 2 = 1/2(x + 4) to slope-intercept form.

Back

The slope-intercept form is y = 1/2x + 4.

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 indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the slope of the line represented by the equation y - 5 = 3(x - 1)?

Back

The slope is 3.

Front

How do you find the y-intercept from a point-slope equation?

Back

To find the y-intercept, convert the point-slope form to slope-intercept form (y = mx + b).

Front

Given the slope of 1/3 and the point (6, 2), write the point-slope form of the equation.

Back

The equation is y - 2 = 1/3(x - 6).