If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 4 and passes through point (1, 2).

1 answer:

5 0

A.
Using the point-slope form:
y - 2 = 4(x - 1)
y = 4x - 2

B.
We plug the point into the equation to see if it is satisfied:
24 = 4(7) - 2
24 = 26; This is not true so the point is not on the ship's path

C.
The slope of this ship's motion is -1/4, which is the negative reciprocal of the first ship's slope. Therefore, the ships are moving in perpendicular to one another.

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Write the equation of a line that is perpendicular to the given line and that passes through the given point. y= 2/3x + 9 ; (–6,

matrenka [14]

Answer:

y = - $\frac{3}{2}$ x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{2}{3}$ x + 9 ← is in slope- intercept form

with slope m = $\frac{2}{3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{2}{3} }$ = - $\frac{3}{2}$ , thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 6, 5) into the partial equation

5 = 9 + c ⇒ c = 5 - 9 = - 4

y = - $\frac{3}{2}$ x - 4 ← equation of perpendicular line

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Wilma earns $9 per hour at her job. Then she spent $15 on a birthday gift for her best friend. Write an expression to represent

frozen [14]

Answer:

Wilma has $12.

Step-by-step explanation:

Since we don't know how many hours she worked, we know that Wilma earned 9x dollars at her job. Then she spends $15, so we can just subtract 15 from 9x.

$9x-15$