Modeling with Systems of Linear Inequalities — Unit test Answers

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = (x – 2). Which equations also represent this line? Select three options.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.

On a coordinate plane, a curved line with a minimum value of (negative 2, negative 6) and maximum values of (negative 3.75, 3) and (0.25, 13), crosses the x-axis at (negative 4, 0), (negative 3, 0), (negative 1, 0), and (1, 0), and crosses the y-axis at (0, 12).

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).

The solution to the system of equations shown is (2, 0).3x − 2y = 6 x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.

The function f(x) is shown on the graph.

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).