Find the equation of the line that contains the point (-2, -1) and is perpendicular to the line 2x + 3y = 9. Write the line in slope-intercept form, if possible. Graph the
lines
Select the correct choice below and fill in the answer box to complete your
choice.
O A. The equation of the perpendicular line in slope-intercept form is
(Simplify your answer. Type your answer in slope-intercept form. Use
integers or fractions for any numbers in the equation.)
B. The equation of the perpenditular line cannot be written in
slope-intercept form. The equation of the perpendicular line is
(Simplify your answer. Use integers or fractions for any numbers in the
equation.)

The line equation in the slope-intercept form:

Step-by-step explanation:

We know that the slope-intercept of line equation is

Where m is the slope and b is the y-intercept

Given the line

Writing in the slope-intercept form

Therefore, the slope of the line = m = -2/3

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2/3

perpendicular slope = – 1/m

Given the point

(x₁, y₁) = (-2, -1)

Using the point-slope form of the line equation

where m is the slope and (x₁, y₁) is the point

substituting the perpendicular slope m = 3/2 and the point (-2, -1)

Writing in the slope-intercept form

subtract 1 from both sides

Thus, the line equation in the slope-intercept form:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.