Equations of lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation. It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a linear equation (y = mx + b).

Front

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

Back

The slope-intercept form is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

If m=2 and b=5, what is the equation of the line?

Back

y = 2x + 5.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is Point-Slope form of a linear equation?

Back

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

Write the equation of the line in Point-Slope form that goes through the point (3,2) with a slope of 4.

Back

y - 2 = 4(x - 3).

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other (m1 * m2 = -1).