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emmainna [20.7K]
3 years ago
11

What is an equation of the line that passes through the points (3,1) and (4,4)?

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

y=3x-8

Step-by-step explanation:

find the slope by using the slope formula: y2-y1/x2-x1 so 4-1/4-3 solve 3/1 so the slope is 3. standard lines are y = mx+b plug it in with one of the points: 4= 4(3) + b the m is the slope and I plugged the x and y points 4 into it. 4=12+b subtract 12, b=-8 that is the y intercept.

check 1=3(3) + b, 1= 9 + b, -8= b:

so the y intercept is -8 the slope is 3 now we replace it to get a linear equation;

y=3x-8

valina [46]3 years ago
8 0

Answer:

The equation of the line that passes through the points (3,1) and (4,4) is (3x-y=8).

Step-by-step explanation:

Given ; (x_1,y_1),(x_2,y_2)=(3,1) , (4,4)

Equation of the line that passes through the points can be determined by using point slope form equation of line;

(y-y_1)=m\times (x-x_1)

slope of the line = m

m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-1}{4-3}=\frac{3}{1}

(y-1)=3(x-3)

y-1=3x-9

3x-y=9-1

3x-y=8

The equation of the line that passes through the points (3,1) and (4,4) is (3x-y=8).

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1) Given  \sum\limits_{k=0}^8\frac{1}{k+3}=\sum\limits_{i=3}^{11}\frac{1}{i}

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\sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{0+3}+\frac{1}{1+3}+\frac{1}{2+3}+\frac{1}{3+3}+\frac{1}{4+3}+\frac{1}{5+3}+\frac{1}{6+3}+\frac{1}{7+3}+\frac{1}{8+3} \sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}

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