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NeX [460]
3 years ago
5

What is the equation of the graphed line in point-slope form?

Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0
First you do the distributive property and then you have to use the inverse property of each equation and after all the math the answer is y-1= 2/3(x-3)


P.S: Next time you may want to add the fractions in the possible answers
Flura [38]3 years ago
5 0
We first need to find the gradient of the line
\frac{y_{2}- y_{1} } {x_{2}-x_{1} } = \frac{-3-1}{-3-3}= \frac{-4}{-6}= \frac{2}{3}

From the graph, we see the graph intercepts y-axis at -1

Hence, the equation of the line is y= \frac{2}{3}x-1
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For what values of x is -1/2x+6>4x-3
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Answer:

x<2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

8 0
3 years ago
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
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Solve the following equation 5x-15=50
denis-greek [22]
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Answer:

Either A or B

Step-by-step explanation:

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