ASSIGN 6-Slope intercept and point slope equation

Front

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

Back

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

Front

How do you identify the slope from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

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

Back

To convert a point-slope equation y - y1 = m(x - x1) to slope-intercept form, solve for y to get y = mx + (y1 + m*x1).

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 find the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (0, b) and use the slope (rise/run) to find another point on the line.

Front

What is the relationship between the slope and parallel lines?

Back

Parallel lines have the same slope, meaning they will never intersect and have identical steepness.

Front

What is the relationship between the slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one line has a slope of m, the other will have a slope of -1/m.