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 the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert point-slope form 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 to isolate it on one side of the equation.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y (rise) divided by the change in x (run) between two points on the line.

Front

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

Back

The slope (m) between two points is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form of a linear equation is expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How can you identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, the slope (m) is the coefficient of x.

Front

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

Back

The point (x1, y1) represents a specific point on the line, which is used as a reference to write the equation in point-slope form.

Front

How do you write the equation of a line given a point and a slope?

Back

To write the equation of a line given a point (x1, y1) and a slope m, use the point-slope form: y - y1 = m(x - x1).

Front

What is the relationship between point-slope form and slope-intercept form?

Back

Point-slope form can be converted to slope-intercept form by solving for y, allowing for easier identification of the slope and y-intercept.