Friday Review Day 11/15

The inequality represents the region above the line $$y = 4x - 5$$ in a coordinate plane.

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as $$y = kx$$ , where k is the constant of variation.

To find k, use the formula $$k = \frac{y}{x}$$ . Here, $$k = \frac{39}{3} = 13$$ .

Use the formula $$y = kx$$ . Here, $$y = 13 * 2 = 26$$ .

The slope of the line is $$-\frac{3}{2}$$ .

First, distribute: $$10x + 2 - 6x + 12 = 10$$ . Combine like terms: $$4x + 14 = 10$$ . Then, isolate x: $$4x = -4$$ , so $$x = -1$$ .

The formula is $$k = \frac{y}{x}$$ .

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

A graph represents a linear inequality if it shows a shaded region and a boundary line, where the line is dashed for < or > and solid for ≤ or ≥.