Slope of the line passing through two points <span><span>P=<span>(<span><span>x1</span>,<span>y1</span></span>) </span></span></span>and <span><span>Q=<span>(<span><span>x2</span>,<span>y2</span></span>)</span></span></span> is given by <span><span>m=<span><span><span>y2</span>−<span>y1/</span></span><span><span>x2</span>−<span>x1</span></span></span></span></span>.
We have that <span><span><span>x1</span>=−8</span></span>, <span><span><span>y1</span>=−3</span></span>, <span><span><span>x2</span>=−3</span></span>, <span><span><span>y2</span>=4</span></span>.
Plug given values into formula for slope: <span><span>m=<span><span><span>(4)</span>−<span>(<span>−3</span>)/</span></span><span><span>(<span>−3</span>)</span>−<span>(<span>−8</span>)</span></span></span>=<span>7/5</span></span></span>.
Now y-intercept is <span><span>b=<span>y1</span>−m⋅<span>x1</span></span></span> .
<span><span>b=−3−<span>(<span>7/5</span>)</span>⋅<span>(<span>−8</span>)</span>=<span>41/5.</span></span></span>
Finally, equation of the line can be written in the form <span><span>y=mx+b</span></span>.
<span><span>y=<span>7/5</span>x+<span>41/5</span></span></span>
Answer:
- 2 cups ⇔ 16 fluid ounces
- 96 ounces ⇔ 6 pints
- 12 pints ⇔ 24 cups
- 4 quarts ⇔ 1 gallon
<em>Also see attached</em>
Answer:
a. 12.8 cm b. 3.125
Step-by-step explanation:
To find any scale drawing use a proportion with one unit of values on the top and the other on the bottom. For example 8cm/5km = x/8km. So you would multiply 8 cm and 8 km and then divide by 5 to get 12.8 cm. For the second question plug in 5m in the numerator and solve for its denominator.
Answer choice should be b!
Answer:
The odd function is written f (x) = (x) and rounds the odd numbers to the nearest integer.
The graph of f (x) = (x) includes the point (17/4), (7/2), (15/6)
Step-by-step explanation:
The odd function seeks to round odd numbers, with fractions of first odd numbers and then even by adding 3 to them.
