Determine the $x$ - and $y$-intercepts for the graph of each equation. Then draw the graph.

$$x+2 y=-4$$

Graph the line, using the provided information or equation.

$$y=-x+6$$

Write an equation of each line. Write the final answer in slope-intercept form. Through $(2,-6)$ and $(1,3)$

Decide whether the given ordered pair is a solution of the given equation. 2x - y = 6; (4, 2)

Determine the $x$ - and $y$-intercepts for the graph of each equation. Then draw the graph.

$$3 x+2 y=8$$

Solve each inequality, and graph the solution set.

$$\dfrac{2}{3} x-\dfrac{1}{6} x \leq-2$$

The figure at the right shows a line that has a positive slope (because it rises from left to right) and a positive y-value for the y-intercept (because it intersects the y-axis above the origin).

Explain whether

(a) the slope is positive, negative, or zero and

(b) the y-value of the y-intercept is positive, negative, or zero.

Find the x-intercept and the y-intercept for the graph of each equation.

Graph the line, using the provided information or equation.

$$x+5 y=0$$

Analyze the ordered pair to determine if it is a solution to the given equation.

$$2 x+y=5 ; \quad(3,-1)$$

Write an equation of each line. Write the final answer in slope-intercept form. Through $(-1,4), m=2$

Find the x- and y-intercepts for the line that is the graph of each equation, and graph the line y = 2x + 5

Solve each inequality, and graph the solution set.

$$4(x+3)-5 x<12$$

The figure at the right shows a line that has a positive slope (because it rises from left to right) and a positive y-value for the y-intercept (because it intersects the y-axis above the origin).

Explain whether

(a) the slope is positive, negative, or zero and

(b) the y-value of the y-intercept is positive, negative, or zero. !