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:3/19
Step-by-step explanation:
5/19 - 2/19 = 3/19
<u>Answer:</u>
- Slope = 27/11
- AB = 29.15 u
<u>Step-by-step explanation:</u>
<u>Given :- </u>
- Two points are given to us .
- The points are A(7,15) and B(18,42)
<u>To Find</u> :-
- The slope of the line .
- The length of line AB .
We can find the slope of the line passing through the points and as ,
- Plug in the respective values ,
<u>Hence the slope of the line is 27/11 .</u>
<u>Finding the length of AB :-</u>
- We can find the distance between them by using the Distance Formula .
<u>Hence the length of AB is 29.15 units .</u>
(6 + 5i)(4 + 7i) = 24 + 42i + 20i + 35i²
= 35i² + 62i + 24
The product of 6+5i and 4+7i is 35i² + 62i + 24.
Answer:-56
Step-by-step explanation:The product is your answer