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gregori [183]
4 years ago
12

Which equation in point-slope form contains the points (2, 6) and (–1, 3)?

Mathematics
2 answers:
Karo-lina-s [1.5K]4 years ago
8 0
Using the formula for lines y=mx+b
To find out the gradient of the line, we do (y2-y1)/(x2-x1). 
(3-6)/(-1-2)= -3/-3= 1 is the slope of the line
So far, y=(1)x+b
Now substitute one of your given coordinates into this equation:
6=2+b
b=4
Therefore, the equation of the line is y=x+4
Alexxx [7]4 years ago
7 0

Answer:

y-6=1(x-2)

Step-by-step explanation:

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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr
DiKsa [7]

Answer:

y=-\frac{1}{3} x+5

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points (x_1,y_1) and  (x_2,y_2) for the line, use them to find the slope of the line that goes through them, with the formula:  slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}

Therefore, the slope of the line must be -\frac{1}{3}

Now, find the y-intercept (b) using the general form of a line with the given slope:

y=-\frac{1}{3}x +b

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5

then the y-intercept must be 5. Therefore our line is : y=-\frac{1}{3}x +5 which appears listed as your second choice.

8 0
4 years ago
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Answer:

do you mean PEMDAS?

Step-by-step explanation:

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you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

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Do you have a picture or something?
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Marizza181 [45]

Answer : hmu and i will lol

Step-by-step explanation:

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