Slope Intercept, Point Slope, & Standard Form

Front

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

Back

The slope is the coefficient of x in the equation of the form y = mx + b.

Front

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

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Front

Convert the equation -3x - 2y = 2 into slope-intercept form.

Back

y = -\frac{3}{2}x - 1.

Front

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

Back

The point-slope form is given by y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

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

Back

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

Front

How do you identify the slope from the equation y = 4x + 3?

Back

The slope is 4, which is the coefficient of x.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that for every 1 unit increase in x, y decreases by 2 units, meaning the line falls.

Front

What is the relationship between the slopes of parallel lines?

Back

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

Front

What is the relationship between the slopes of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.