Point Slope Practice

Front

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

Back

The point-slope form of a linear equation is given by 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

In a point-slope equation of the form y - y1 = m(x - x1), the slope is represented by the variable m.

Front

What does the slope of a line represent?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How can you find a point on a line given its equation in point-slope form?

Back

To find a point on a line given its equation in point-slope form, you can substitute any value for x into the equation and solve for y.

Front

What is the significance of the point (x1, y1) in the point-slope form?

Back

The point (x1, y1) is a specific point that lies on the line represented by the equation.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the equation of a line with a slope of 2 that passes through the point (4, 3)?

Back

Using point-slope form: y - 3 = 2(x - 4) or y = 2x - 5.

Front

How do you determine if a point lies on a given line?

Back

To determine if a point (x, y) lies on a line, substitute the x-value into the line's equation and check if the resulting y-value matches.