write the equation of the line that passes through the point (8,-1) and (2,-5) in standard form, givin that the point slope form is y + 1 = 2/3(x-8).​

Answers

Answer 1
Answer:

Answer:

The line equation in standard form is 2x – 3y = 19.

Explanation:

Given:

The point (8,-1) and (2,-5) in standard form

The point slope form is y + 1 = 2/3(x-8).

To find:

Equation of the line

Solution:

Now, we have line equation in point slope form, we have to convert it into standard form i.e. ax + by = c

Then, let us simplify the above equation.  

y + 1 = (2)/(3) (x - 8)

3(y + 1) = 2(x – 8)  

3y + 3 = 2x – 16  

2x – 3y = 16 + 3  

2x – 3y = 19

Hence, the line equation in standard form is 2x – 3y = 19.


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What is the total cost of a sweatshirt if the regular price is $42 and the sales tax is 5.5?

Answers

42*5.5%+42=44.31
So the total cost is $44.31

Each letter in the expression shown to the right represents a digit other than zero. Different letters represent different digits and the same letter always represents the same digit. What is the smallest whole number that can be the value of this expression?

Answers

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Maria walked 3 km west and 4 km south calculate how far she is from her starting point.

Answers

Answer:

5 km

Step-by-step explanation:

We are given the distances walked by Maria;

  • 3 km west and 4 km south

We are required to determine the displacement from her starting point;

  • We are going to use Pythagoras's theorem;

a² + b² = c²

Taking, the distances towards south and towards west as the legs of the triangle;

Then, c² = 3² + 4²

               = 25

         c  = √25

            = 5 km

Therefore, the displacement from the starting point is 5 km

Answer:

Step-by-step explanation:

5km

Vhich graph represents the function f(x) = x2 + 5?

Answers

The graph of the function is attached to the solution.

The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,

Since, there is no negative sign so, the parabola will be opened up,

Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.

So, the graph will be an upward opened parabola with its vertex at (0, 5)

Learn more about parabola, click;

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Answer:

I would say Graph 2 because if its showing f(x)=x2+5

there are no negatives in this equation, so I think it is graph 2

Is 10 thousands, 5 hundreds greater than or less than 1,050 tens

Answers

Its greater than 1,050 tens.
it greater because 1050 is smaller than 10,500

A line with a slope of 1 passes through the point (3,-8). What is it's equation in slope-intercept form?​

Answers

Answer:

Given:

Slope(m)= 1

Passing Point = (3,-8)

Using one point formula,

y-y1 = m(x-x1)

or, y+8 = 1×(x-3)

or, y+8 = x - 3

or, x - y = 11

Now,

Dividing both sides by 11, we get

x/11 - y/11 = 1 --------i)

Comparing eqn. i) with slope intercept form [x/a + y/b = 1]

Answer: The equation would be y=1x-11

Step-by-step explanation:

slope of this line is 1

y=1x

3 times 1 = 3

to get from 3 to -8 we subtract 11

y=1x-11