5.5 Day 2 Practice

Front

What is the slope of a line perpendicular to a line with a slope of -2?

Back

The slope of a line perpendicular to a line with slope m is -1/m. Therefore, the slope of a line perpendicular to -2 is 1/2.

Front

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

Back

Use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of a line parallel to a line with a slope of 2?

Back

The slope of a line parallel to a line with slope m is the same as m. Therefore, the slope of a line parallel to 2 is also 2.

Front

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

Back

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

Front

How do you convert the point-slope form to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), solve for y in the point-slope equation.

Front

What is the y-intercept of the line y = 2x - 5?

Back

The y-intercept is the value of y when x = 0. For y = 2x - 5, the y-intercept is -5.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

How do you find the x-intercept of a line given its equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.