Point Slope and Slope Intercept Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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 point-slope form of a linear equation?

Back

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

Front

Convert the point-slope form to slope-intercept form: y - 3 = 2(x + 1).

Back

The slope-intercept form is y = 2x + 5.

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

What is the y-intercept of the equation y = 4x - 2?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as x changes.

Front

Given the equation y = -3x + 4, what is the slope?

Back

The slope is -3.

Front

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.