The equation of line parallel to
and containing the point(-10,-3) is 
Step-by-step explanation:
We need to write the equation parallel to and containing the point(-10,-3)
The standard form of point slope equation is:
where m is slope and b is y-intercept
Comparing the given equation with standard form the slope is m= -1/5
Since the lines are parallel the slope of new line is m = -1/5
Now finding b (y-intercept)
Using slope m=-1/5 and point (-10,-3)
So, b= -5 and slope = -1/5 the equation of new line is:
So, The equation of line parallel to and containing the point(-10,-3) is
Keywords: Point Slope form
Learn more about point slope form at:
#learnwithBrainly
Answer:
Step-by-step explanation:
1-4
1
n=30/1
so it would be (t,n) instead of (x,y) respectively
so the first would be (1,30)
2. n=30/2
second would be (2,15)
3. n=30/3
third would be (3,10)
4.
n=30/4
fourth would be (4,7.5)
Answer: Choice A
x+3y = 14
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Explanation:
The general template for standard form is Ax+By = C, where A,B,C are integers.
This immediately rules out choices C and D, since they don't fit the format mentioned.
To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.
For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...
x+3y = 14
2+3(4) = 14
2+12 = 14
14 = 14 this is true
So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.
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If we tried (2,4) with choice B, then,
5x+3y = 14
5(2)+3(4) = 14
10+12 = 14
22 = 14 which is false
This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.
So close! But instead of adding the multiplication sign after the number you need to add them before. Good job though! :)
X-y=-10
x=-10-y
7x+7y=-14
7(-10-y)+7y=-14
-70-7y+7y=-14
0y=56
y=0
x=-10-y
x=-10-0
x=-10
I’m not 100% sure if this is right, so I hope someone checks this over :)
