0.1 Linear equations: homework

Is the point (2, 3) on the line $\mathrm{5x}-\mathrm{2y}=4$ ?

Is the point (1, – 2) on the line $\mathrm{6x}-y=4$ ?

For the line $\mathrm{3x}-\mathrm{y}=\mathrm{12}$ , complete the following ordered pairs.

(2, ) ( , 6)

(0, ) ( , 0)

For the line $\mathrm{4x}+\mathrm{3y}=\text{24}$ , complete the following ordered pairs.

(3, ) ( , 4)

(0, ) ( , 0)

Graph $y=\mathrm{2x}+3$

Graph $y=-\mathrm{3x}+5$

Graph $y=\mathrm{4x}-3$

Graph $x-\mathrm{2y}=8$

Graph $\mathrm{2x}+y=4$

Graph $\mathrm{2x}-\mathrm{3y}=6$

Graph $\mathrm{2x}+4=0$

Graph $\mathrm{2y}-6=0$

Graph the following three equations on the same set of coordinate axes.

Graph the following three equations on the same set of coordinate axes.

Graph the line using the parametric equations

Graph the line using the parametric equations

(2, 3) and (5, 9)

(4, 1) and (2, 5)

(– 1, 1) and (1, 3)

(4, 3) and (– 1, 3)

(6, – 5) and (4, – 1)

(5, 3) and (– 1, – 4)

(3, 4) and (3, 7)

(– 2, 4) and (– 3, – 2)

(– 3, – 5) and (– 1, – 7)

(0, 4) and (3, 0)

$y=\mathrm{3x}-2$

What is the slope of the x-axis? How about the y-axis?

(1, 2) and $m=-3/4$

(2, –1) and $m=2/3$

(0, 2) and $m=-2$

(2, 3) and $m=0$

It passes through the point (3, 10) and has $\text{slope}=2$ .

It passes through the point (4,5) and has $m=0$ .

It passes through (3, 5) and (2, – 1).

It has slope 3, and its y-intercept equals 2.

It passes through (5, – 2) and $m=2/5$ .

It passes through (– 5, – 3) and (10, 0).

It passes through (4, – 4) and (5, 3).

It passes through (7, – 2) and its y-intercept is 5.

It passes through (2, – 5) and its x-intercept is 4.

Its a horizontal line through the point (2, – 1).

It passes through (5, – 4) and (1, – 4).

It is a vertical line through the point (3, – 2).

It passes through (3, – 4) and (3, 4).

It has $x\text{-intercept}=3$ and $y\text{-intercept}=4$ .

It passes through (3, – 1) and $m=2$ .

It passes through (– 2, 1) and $m=-3/2$ .

It passes through (– 4, – 2) and $m=3/4$ .

Its x-intercept equals 3, and $m=-5/3$ .

It passes through (2, – 3) and (5, 1).

It passes through (1, – 3) and (– 5, 5).

The variable cost to manufacture a product is $25, and the fixed costs are $1200. If $x$ represents the number of items manufactured and $y$ the cost, write the cost function.