Y - y1 = m(X - X1)
m = Y - y1/X - x1
m = -2 - 0/4 - 5
m = -2/-1
m = 2.
The slope of the line is a positive one, where m = 2.
After the 80% discount the jeans would cost $12.00
Answer:
<h2>-6x + 7y = 11</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m - slope
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-3, -1) and (1/2, 2). Substitute:
![m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}\\\\y-(-1)=\dfrac{6}{7}(x-(-3))\\\\y+1=\dfrac{6}{7}(x+3)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-%28-1%29%7D%7B%5Cfrac%7B1%7D%7B2%7D-%28-3%29%7D%3D%5Cdfrac%7B3%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cdfrac%7B3%7D%7B%5Cfrac%7B7%7D%7B2%7D%7D%3D3%5Ccdot%5Cdfrac%7B2%7D%7B7%7D%3D%5Cdfrac%7B6%7D%7B7%7D%5C%5C%5C%5Cy-%28-1%29%3D%5Cdfrac%7B6%7D%7B7%7D%28x-%28-3%29%29%5C%5C%5C%5Cy%2B1%3D%5Cdfrac%7B6%7D%7B7%7D%28x%2B3%29%7D)
Convert to the standard form Ax + By = C:
<em>multiply both sides by 7</em>
<em>use the distributive property</em>
<em>subtract 7 from both sides</em>
<em>subtract 6x from both sides</em>
![-6x+7y=11](https://tex.z-dn.net/?f=-6x%2B7y%3D11)
Answer:
4.5cm^2
Step-by-step explanation:
To find area of a triangle the formula is --> 1/2 base times height
so 3cm x 3cm = 9cm and divide by 2 --> 4.5 cm^2
Answer:
<h3>Children's books</h3>
- Number = c
- Cost of each = $5
- Total of children's books = 5c
<h3>Adult books</h3>
- Number = a
- Cost of each = $9
- Total of children's books = 9a
<h3>The equations reflecting the totals are</h3>
- Books ⇒ c + a = 500
- Total cost ⇒ 5c + 9a = 3940