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Solnce55 [7]
3 years ago
11

Find the equation of the line that passes through the points : (4 , -1 ) and (0 , -3)

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

B. y= 1/2 x - 3

Step-by-step explanation:

base equation: y= mx+ b

slope(m) equation: \frac{y_{2}-y_{2}  }{x_{2} -x_{1} }

y2= -1    y1= -3

x2= 4     x1= 0

\frac{-1 - (-3)}{4-0} =\frac{2}{4} = \frac{1}{2}

y- intercept: -3

found by taking the y from (0,-3)

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You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500
____ [38]
5 years to earn $500
3 0
3 years ago
A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Ch
kobusy [5.1K]

Answer: He bought 0.5 pounds of chocolate-covered pretzels and 1.3 pounds of gumdrops.

Step-by-step explanation:

Let Troy bought x pounds of chocolate-covered pretzels and y pounds of gumdrops.

Since, the total pounds he bought = 1.8 pounds,

That is, x + y = 1.8  ------------(1)

Also, he total spent total 1.29 dollars in which Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound.

That is, 0.89 x + 0.65 y = 1.29  -----------(2),

0.89 x × Equation(1),

We get,

0.89 x + 0.89 y = 1.602  ------------(3)

Equation(2)-equation(3),

We get, 0.24 y = 0.312 ⇒ y = 1.3

By Substituting this value in equation (1),

x = 1.8 -1.3 ⇒ x = 0.5

Thus, he bought chocolate-covered pretzels, x = 0.5 pounds,

And, gumdrops, y = 1.3 pounds.

8 0
3 years ago
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
Nataliya [291]

Answer:

Step-by-step explanation:

for two lines to be parallel they MUST have the same slope but have different Y intercepts ( Y axis crossing values)

parallel lines will never intersect each other

first I use a graphing calcuator to solve the problem

I like to use y intercept form better, but you don't have use it

I will try to solve it directly without going through the y intercept equation

x + 5y = 10    in y intercept form y = mx + b is

5y = -x + 10     divide both sides by 5

y = -x/5 + 10/5    

y = -x/5 + 2

Now I need to find a parallel line that passes through the x =1 and y = 3 point recall this line will have the same slope =     m = -1/5

and a different Y axis crossing point 'b' that we don't know

y = -x/5 + b      y = 3 when x = 1 so slove for 'b'

3 = -1/5 + b

3 = -0.2 + b    add -0.2 to both sides

3.2 = b

y = -x/5 + 3.2     this is answer in y intercept form

                          if you multiply both sides by 5

5y = -x + 16        add x to both sides

x + 5y = 16         answer in standard form

THE EASIER WAY TO SOLVE THE PROBLEM IS ......

x + 5y = 10      find a line parallel that passes through x  = 1,  y = 3  

x + 5y = Z       Z is an unknown value  plug in x and y and solve for Z

1 + 5(3) = Z

Z = 16              so the parallel line in standard form is

x + 5y = 16    

same as before,  my y intercept method was correct, but not  worth the effort

       

6 0
2 years ago
What is the cost of 1 pound of pears?
Ivahew [28]

Answer:

2.8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 4g=24?................
Gnesinka [82]
4g = 24

First, divide both sides by 4. / Your problem should look like: g = \frac{24}{4}
Second, simplify \frac{24}{4} to 6. / Your problem should look like: g = 6

Answer: g = 6

4 0
3 years ago
Read 2 more answers
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