Answer:
By graphing the line, we have the equation y = ![\frac{3}{4} x -4.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%20-4.5)
Step-by-step explanation:
What this question is asking us is to find the equation of the line with the value of the slope given in the question and also passing through the point in the question
For a straight line, the general equation can be represented as
y = mx + c
where m is the slope of the line and c is the y intercept. From the question, we have the value of the slope, what we have left to find is the value of the intercept. We find this by inserting the x, y and the slope value into the general equation of a straight line.
We have;
-3 = 3/4(2) + c
c = -3 - 6/4
c = -3-1.5 = -4.5
Thus, the equation of the line is;
y = ![\frac{3}{4} x -4.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%20-4.5)
Answer:
They are the same.
Step-by-step explanation:
Answer:
y=3x−4
Step-by-step explanation:
find the tangent line to f(x)=x2−3x+5 at x=3
First, find the value of the function at the given point: y0=f(3)=5
Second, find the slope of the tangent line, which is the derivative of the function, evaluated at the point: m=f′(3)
Find the derivative: f′(x)=2x−3
Next, we evaluate the derivative at the given point to find the slope.
m=f′(3)=3
Finally, the equation of the tangent line is y−y0=m(x−x0)
Plug the values that we found, we get that y−(5)=3(x−(3))
So basically: y=3x−4
The final price is $ 40
<em><u>Solution:</u></em>
A store in Minnesota advertises that on a holiday, everything is 20% off
Discount = 20 %
A person buys shoes for $40 and socks for $10
<em><u>Therefore, Total price before discount is given as:</u></em>
Total price = 40 + 10 = 50
Therefore,
Total price before discount = $ 50
Discount = 20 %
Therefore, discount price is 20 % of 50
![Discount\ price = 20 \% \times 50\\\\Discount\ price = \frac{20}{100} \times 50\\\\Discount\ price = 10](https://tex.z-dn.net/?f=Discount%5C%20price%20%3D%2020%20%5C%25%20%5Ctimes%2050%5C%5C%5C%5CDiscount%5C%20price%20%3D%20%5Cfrac%7B20%7D%7B100%7D%20%5Ctimes%2050%5C%5C%5C%5CDiscount%5C%20price%20%3D%2010)
Thus the discount price is $ 10
<em><u>Final price is given as:</u></em>
Final price = Total price before discount - discount price
Final price = 50 - 10 = 40
Thus the final price is $ 40
Yes, that like will divide the side in proportion