Graphing Linear Equations and Inequalities

Front

What is the y-intercept of the equation 2x - 5y = 35?

Back

(0, -7)

Front

Which point below is NOT part of the solution set? (0, 0), (5, 1), (-1, -3), (20, -5)

Back

(-1, -3)

Front

Given that the slope is 2/3 and the y-intercept is -3, what is the equation of the line?

Back

y = 2/3x - 3

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality, while a linear inequality shows a range of values.

Front

What does it mean for a point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

How can you graph a linear inequality?

Back

Graph the corresponding linear equation, then shade the appropriate region.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.