Exit Ticket - Linear Equation Forms

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 convert a linear equation from Standard form to Slope-Intercept form?

Back

To convert from Standard form (Ax + By = C) to Slope-Intercept form (y = mx + b), solve for y to isolate it on one side.

Front

What is the Slope-Intercept form of a linear equation?

Back

The Slope-Intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the Slope-Intercept form.

Front

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

Back

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

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3) in Point-Slope form?

Back

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

Front

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

Back

Use the Point-Slope form: y - y1 = m(x - x1), substituting the slope and the coordinates of the point.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope; they never intersect.

Front

What is the relationship between the slopes of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other; if one slope is m, the other is -1/m.