Examine the following table, which represents some points on a line What is the equation for the line in slope-intercept form?

1. y=−1/3x−6

2. y=3x−2 ( Wrong )

3. y=−3x−2 ( Wrong )

4. y=−1/3x−2

5. y=−3x−6 ( Wrong)

[tex]Examine the following table, which represents some points on a line What is the equation for the[/tex]

Slope intercept for is y=mx+b

So to solve this, get y by itself, and move everything else to the other side of the equation.

3x + 9y = 18

first subtract 3x from each side

9y = 18 - 3x

Then divide each side by 9

y = [tex]\frac{18-3x}{9}[/tex]

Simplify by dividing both 18 and -3 by 9

y = 2 - 1/3x

Rearrange it so that -1/3x comes first

y = -1/3x + 2

ANSWER:

B. y = -1/3x + 2

I hope this helps!

A. y - 5 = 3(x + 1)

Step-by-step explanation:

y = -1/3 x - 6

This line, slope = -1/3

Perpendicular lines, slope is opposite and reciprocal, so slope = 3

Equation that passes thru (-1,5)

y - 5 = 3(x + 1)

3

Step-by-step explanation:

3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.

The correct answer is B. y = -1/3x + 2

Sorry if I am wrong, but I believe that this is the correct answer.

3x+9y=18

Divide by 3 to put equation in simplest form

X+3y=6

Divide by 3 again so Y has no coefficients

1/3x+y=2

Subtract x so y is on its own side

ANSWER

Slope int. Form is y=mx+b

So the answer would be

Y=-1/3x+2

D. 1/3

Step-by-step explanation:

D. Perpendicular to each other should be opposite of the slope equation. If it is same slope then,it's parallel to each other, so B is wrong. A and C is wrong, since that is not the given equation is like.

For this case we have that if two lines are perpendicular, then it follows that:

[tex]m_ {1} * m_ {2} = - 1[/tex]

We have [tex]m_ {1} = - \frac {1} {3}[/tex]

So:

[tex]- \frac {1} {3} * m_ {2} = - 1\\m_ {2} = \frac {-1} {- \frac {1} {3}}\\m_ {2} = 3[/tex]

Then, the equation is of the form:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

We have the point:

[tex](x_ {0}, y_ {0}) = (- 1,5)[/tex]

We replace:

[tex]y-5 = 3 (x - (- 1))\\y-5 = 3 (x + 1)[/tex]

[tex]y-5 = 3 (x + 1)[/tex]

Option A

The slope is 1/3 and the intercept is 6

I think the answer is 1/3

Option (b)

Step-by-step explanation:

Let the points represented by the given table lie on a line.

And the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Let the points lying on the line are (0, -2) and (3, -3)

Slope of the line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{-2-(-3)}{0-3}[/tex]

m = [tex]\frac{-2+3}{0-3}[/tex]

m = -[tex]\frac{1}{3}[/tex]

y-intercept 'b' = (-2)

Equation of the line is,

y = [tex]-\frac{1}{3}x-2[/tex]

This equation matches with equation given in option (b).

Option (b) will be the answer.