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:
a) 
b) 
Dividing both sides by 0.448 we got:
We can appy the exponent 
in both sides of the equation and we got:
Step-by-step explanation:
For this case we know the following function:
The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.
Part a
For this case we just need to replace x = 2 gram in the function and we got:
Part b
For this case we know tha value for 
and we want to find the value of x who satisfy this condition:
Dividing both sides by 0.448 we got:
We can appy the exponent in both sides of the equation and we got:
Answer:
The point slope formula states (y-y1)=m(x-x1)
Where m is the slope and (x1 y1) is a point the line passes through
Substituting the point and slope from the problem give
(y-5)=-2(x-3) ~answer
