Answer:
I think it’s d
Step-by-step explanation:
Hello!
Slope-intercept form is y = mx + b. In this form, m is the slope and y is the y-intercept.
To find the slope, we need to use the slope formula. The slope formula is:
. We can assign the point (4, 6) to
and
and (9, 16) to
and
.
Now, we can find the slope: ![\frac{16-6}{9-4} = \frac{10}{5} = 2](https://tex.z-dn.net/?f=%5Cfrac%7B16-6%7D%7B9-4%7D%20%3D%20%5Cfrac%7B10%7D%7B5%7D%20%3D%202)
Next, we can find the y-intercept by substituting a point into the slope-intercept form with the slope as 2.
y = 2x + b (substitute a given point)
6 = 2(4) + b (simplify)
6 = 8 + b (subtract 8 from both sides)
-2 = b
Therefore, the equation of the line is y = 2x - 2.
Given that the ship was traveling for 4 mph faster heading west than south then let the speed of the ship heading south be x mph, the speed of the ship heading west will be (x+4) mph
the distance is given by:
distance=speed*time
distance heading south was:
x*4=4x miles
distance heading west was:
5(x+4)=5x+20
thus the total distance will be given by:
4x+(5x+20)=191
9x+20=191
9x=191-20
9x=171
x=171/9
x=19 mph
the speed the ship used to travel west was:
x+4
=19+4
=21 mph