Find the point-slope equation of the line with slope -3 that passes through the point (2, -10).
2 answers:
Answer:
Step-by-step explanation:
First we must know the format of point-slope form.
This would be:
Given x = 2, y = -10, and that our slope MUST be -3
Lets solve for "b" in the slope-intercept form using the variables provided to us. Remember that slope-intercept form is: where "m" is the slope.
-10 = -3(2) + b
-10 = -6 + b
-4 = b
Congrats! We now have our b variable, which means we can write out our slope-intercept form for our equation. This would be:
We aren't done though, we now must convert this into point-slope form! Remember that x = 2 and y = -10
Lets plug in -3 for the "m" spot, -10 for the "y1" spot, and 2 for the "x1" spot in the point-slope equation.
(Why are we adding 10 instead of subtracting you might ask? Remeber that two negatives equal a positive; when we plugged in -10 into the "y1" spot it was already negative, it would essentially be this: which turns into a positive!)
Huzzah! We now have our equation in point-slope form which is equivalent to:
Feel free to check on the Desmos graphing calculator if you wish!
If you have any questions feel free to ask! Hope this helped!
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Apa-bear weighs 250 lb.
Mama-bear weighs 50 pounds less than Papa-bear does.
Their 2 cubs weigh 80 pounds each.
To Find :
The total weight of the Bear family .
Solution :
Weight of mama bear = .
Total weight is the sum of all all weight .
Therefore , total weight of the Bear family is 610 lb .
Hence , this is the required solution .