Is x/3 equivalent to 1/3x

Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

nekit [7.7K]

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in $y=mx+b$ form. In this for the following are:

$m$ is the slope of the line
$b$ is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Upon inserting our points into the equation, we get a slope of -1.

$\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1$

Creating The Equation

To create the equation in $y=mx+b$ form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

$y=-1x-2$

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

5 0

3 years ago

Which of the following is the best estimate of the direction of the given vector?

notka56 [123]

Answer:

The direction of the given vector is 45° N of W

Step-by-step explanation:

* Lets revise the four directions with the four quadrants

- The four directions are:

# North which represented by the positive part of y-axis

# South which represented by the negative part of y-axis

# East which represented by the positive part of x-axis

# West which represented by the negative part of y-axis

∴ The first quadrant is between the East and the North

∴ The second quadrant is between the West and the North

∴ The third quadrant is between the West and the South

∴ The fourth quadrant is between the East and the South

* The direction of any vector is tan Ф, where Ф is the angle between

the vector and the x-axis, then:

- The direction of North of East is 45° ⇒ first quadrant

- The direction of North of West is 45° ⇒ second quadrant

- The direction of South of West is 45° ⇒ third quadrant

- The direction of South of East is 45° ⇒ fourth quadrant

* Now lets solve the problem

∵ The direction of the vector is between the North and the West

(its vertex in the second quadrant)

∴ Its direction is 45° North of West

* The direction of the given vector is 45° N of W

7 0

3 years ago

Solve: 2x-10= 40<br>Solve for X

Arturiano [62]

The correct answer is B

4 0

2 years ago

Read 2 more answers

3. A survey conducted among a group of 50 students showed that; (APPLYING)

Pani-rosa [81]

Answer:

Step-by-step explanation:

this is a set problem (mathematical set)

30 students played soccer

9 students played cricket and soccer

x students played neither cricket nor soccer

3x students played cricket only.

we can see that in the first set 21 appears and in the middle of the set 9 because it says 30 students played soccer adding x and 3x we have the following formula

30 + x + 3x = 50 where x is equal to 5 then ask us Determine the number of students who played cricket. then the value would be 3x + 9 = (3x5) + 9 = 24

5 0

3 years ago

Help!!!!!!!!!find the equation of the linear function q(16)=1 that is parralel to f(x)=1/3x+39

kkurt [141]

Answer:

$q(x)= \frac{1}{3} x -\frac{13}{3}$

Step-by-step explanation:

So you have (16, 1)

When two linear functions are parallel, they have the same slope.

So function q also has a slope of 1/3x. You have a set of points so you can plug them in a slope intercept equation to find b.

y= mx+b

m= slope

y= y-intercept

1= 1/3(16) +b

1 - (16/3) = b

b= -13/3

so then, $y= \frac{1}{3} x -\frac{13}{3}$

6 0

2 years ago