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dolphi86 [110]
3 years ago
12

Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2

Mathematics
1 answer:
defon3 years ago
8 0

ANSWER

y + 1=2(x-6)

EXPLANATION

The point-slope form of a line is given by;

y-y_1=m(x-x_1)

where

m = 2

is the slope of the line and (6,-1) is point.

We substitute the point and the slope into the formula to obtain:

y + 1=2(x-6)

Hence the b point slope form of the line with the given properties is

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Find x so that (x,-14) is a solution to 2x+3y=12
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Answer:

27

Question:

Find x so that (x,-14) is a solution to 2x+3y=12 .

Step-by-step explanation:

So we are asked to replace y with -14 and solve for x in the equation:

2x+3y=12.

2x+3y=12 with y=-14:

2x+3(-14)=12

2x-42=12

Add 42 on both sides:

2x=54

Divide both sides by 2:

x=27.

So the x-coordinate that corresponding to y=-14 is 27.

Verify that:

(27,-14) is a point satisfying 2x+3y=12.

Replace x with 27 and y with -14:

2(27)+3(-14)=12

54+-42=12

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Choose the inverse of y = x2 - 10x.
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=Y2-10Y

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We add all the numbers together, and all the variables

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We add all the numbers together, and all the variables

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We use following formulas to calculate our solutions:

Y1=−b−Δ√2aY2=−b+Δ√2a

Δ‾‾√=100‾‾‾‾√=10

Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10

Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0

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