First semester review

Front

Back

x = -6

Front

What is the solution to the system of equations graphed by Steffen?

Back

(-3,-8)

Front

Find the slope & the y-intercept of the equation: y = 2x + 9.

Back

Slope: 2; y-intercept: 9

Front

What is the domain of the graph that includes the points {-5, -4, -3, -1}?

Back

{-5, -4, -3, -1}

Front

Solve the system of equations: 2x + 3y = 6 and 4x + 6y = 12.

Back

No solution

Front

What is the definition of slope in a linear equation?

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and every point on the line is a solution.