Point-Slope Form

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 the point-slope form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

What does a vertical line's equation look like?

Back

A vertical line's equation is of the form x = a, where a is the x-coordinate of any point on the line.

Front

What does a horizontal line's equation look like?

Back

A horizontal line's equation is of the form y = b, where b is the y-coordinate of any point on the line.

Front

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

Back

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

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Given the points (2, 3) and (4, 7), what is the slope of the line through these points?

Back

The slope m is calculated as (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 2.

Front

How do you find the y-intercept from the equation 2x + 3y = 6?

Back

To find the y-intercept, set x = 0 and solve for y. Here, y = 2.

Front

What is the y-intercept of the line represented by the equation y = -4x + 10?

Back

The y-intercept is (0, 10).