Answer:
a.- slope= 36
Interpretation : The cable car travels 36 meter per minute
b.- y = 36x + 100
c.- 640 meters
Step-by-step explanation:
a.-
Find slope using the slope formula : 
Plug in the two given points: 
Subtract the numbers : 
Reduce the fraction : 36
b.-
Using the given y-interspet (100) and the slope create an equation: y = 36x + 100
c.-
Using the equation you created plug in 15 for x to find the
distance: y = 36 (15) + 100
Multiply the numbers : y = 540 + 100
Add the numbers : y = 640
You’re correct, it’s the first option
<em>Replace all occurrences of x with y + 3 in each equation.</em>
<em>Replace all occurences of x in 6x - 5y = 15 with y + 3.</em>
<em>6 (y+3) -5y = 15</em>
<em>x = y + 3</em>
<em>Simplify 6 (y + 3) - 5y.</em>
<em>Simplify each term.</em>
<em>Apply the distributive property.</em>
<em>6y + 6 · 3 - 5y = 15</em>
<em>x = y + 3</em>
<em>Multiply 6 by 3.</em>
<em>6y + 18 - 5y = 15</em>
<em>x = y + 3</em>
<em>Subtract 5y from 6y.</em>
<em>y + 18 = 15</em>
<em>x = y + 3</em>
<em>Move all terms not containing y to the right side of the equation.</em>
<em>Subtract 18 from both sides of the equation.</em>
<em>y = 15 - 18</em>
<em>x = y + 3</em>
<em>Subtract 18 from 15.</em>
<em>y = -3</em>
<em>x = y + 3</em>
<em>Replace all occurences with y with -3 in each equation.</em>
<em>Replace all occurences of y in x = y + 3 with -3.</em>
<em>x = (-3) + 3</em>
<em>y = -3</em>
<em>Add -3 and 3.</em>
<em>x = 0</em>
<em>y = -3</em>
<em>The solution to the system is the complete set of ordered pairs that are valid solutions.</em>
<em>(0,-3)</em>
<em>The result can be shown in multiple forms.
</em>
<em>Point Form:</em>
<em>(0,-3)</em>
<em>Equation Form:</em>
<em>x = 0, y = -3</em>
Put everything on the same side of the equals sign and set it equal to zero so you can factor it.
. In order to factor that you have no choice really but to put it into the quadratic formula. When you do that you find that your zeros are x = 9.623475383 and -.623475383
