All categories

4 years ago

Graph the linear equation x-3y=-6

Mathematics

2 answers:

TEA [102]4 years ago

7 0

Answer:

Step-by-step explanation:

One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.

x-3y=-6 → -3y = -x - 6, or 3y = x + 6.

Dividing both sides by 3, we get y = (1/3)x + 2.

So the slope of this line is 1/3 and the y-intercept is 2.

Plot a dot at (0, 2). This is the y-intercept. Now move your pencil point from that dot 3 spaces to the right and then 1 space up. Draw a line thru these two dots. End.

Alternatively, you could use the intercept method. We have already found that the y-intercept is (0, 2). To find the x-intercept, let y = 0. Then x = -6, and the x-intercept is (-6, 0).

Plot both (0, 2) and (-6, 0) and draw a line thru these points. Same graph.

slamgirl [31]4 years ago

4 0

Answer: Not sure if this is right but here we go.

Step-by-step explanation:

to solve for x

x-3y=-6

Add 3y on both sides, and that should give you x=-6+3y

Solve for y:

y=x/3+2

You might be interested in

Simplify the rational expression. state any excluded values. 4x - 4/ x - 1

grin007 [14]

We need to simplify this expression:

$\frac{4x-4}{x-1}$

So, we will call this expression as:
$f(x) = \frac{4x-4}{x-1}$

We can write this equation like this:

$f(x) = \frac{4(x-1)}{(x-1)}$

So, if we simplify it, this can be written like this:

f(x) = 4 but given that the denominator can't be zero, then:
$x-1 \neq 0$ ∴ $x \neq 1$

Therefore:
f(x) = 4 if and only if $x \neq 1$

3 0

3 years ago

Helppp

adoni [48]

Answer:

- Early in the race,_Alberto_ runs faster.

- Alberto maintains a speed of _20_ km/h during the first hour of the race.

- meanwhile, Bianca’s running speed _Is exponential_

-The first person to cross the finish line is_Bianca_

7 0

3 years ago

How to express this to a single logarithm

Alona [7]

9logbase6zxy

Rules of logs is that when you add logarithms together you’re really multiplying.

Hope this helps!

6 0

3 years ago

Ou have traveled 25 miles in 2 minutes and come to a standstill. What was your initial velocity?

Illusion [34]

If you traveled 25 miles in 2 minutes, your average speed was 25 miles per 2 minutes or 750 miles per hour. If your rate of deceleration was constant, your initial speed was two times 750 miles per hour or 1500 mph.

<span>I do not have enough information to determine your initial velocity because I don't know what direction you were going, and velocity is speed with direction.</span>

4 0

3 years ago

What is negative 6k plus 7k

QveST [7]

Answer:1000

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers