College Algebra Review - Slope and Graphing

Flashcards to help students review slope calculations, equations of lines, and graphing concepts in College Algebra.

What is the slope of the line through the points (2, -9) and (-1, 5)?

The slope is -14/3.

What is the slope of a vertical line?

The slope is undefined.

What is the slope of a horizontal line?

The slope is 0.

What is the slope and y-intercept of the line represented by the equation y = -2x - 3?

Slope is -2, y-intercept is -3.

Convert the equation 6x - 9y = -18 to slope-intercept form and identify slope and y-intercept.

Slope is 2/3; y-intercept is 2.

How do you graph the line given by y = (1/3)x - 2?

Plot the y-intercept at (0, -2) and use the slope 1/3 to find another point.

What is the equation for a vertical line passing through x = -3?

The equation is x = -3.

What is the equation of a horizontal line through (3, -5)?

The equation is y = -5.

Given the slope m = 5/2 and y-intercept b = -3, what is the slope-intercept form of the equation?

The equation is y = (5/2)x - 3.

What is the equation for a line that has an undefined slope and passes through (-2, 9)?

The equation is x = -2.

What is the equation of a line that is parallel to x = -4 and goes through the point (9, 5)?

The equation is y = 5.

What type of line is represented as y = m(x - x1) + y1 when given a point (x1, y1) and slope m?

This is the point-slope form of the line equation.