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Andru [333]
3 years ago
9

What is the equation of the line that passes through (4, -1) and (-2,3)?

Mathematics
2 answers:
guajiro [1.7K]3 years ago
8 0

Answer:

y = -(2/3)x + 5/3

Step-by-step explanation:

Label the points that are given.  

(4, -1) = (x1, y1)

(-2, 3) = (x2, y2)

Step 1: Find the slope, denoted m

This is done by using the formula m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = (3 - (-1))/(-2 - 4)  

m = 4/-6 = -2/3

Step 2: The general form for a linear equation in slope-intercept form is  

y = mx + b where m is the slope and b is the y-intercept

Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Pick either point, it doesn't matter which one. We'll use (4, -1), which is (x, y), and we know that  

m = -2 /3

The equation becomes...

-1 = -(2/3)(4) + b (now solve for b)

-1 =  -8/3 + b

-1 + 8/3 = b

-3/3 + 8/3 = b

5/3 = b

Plug that value into the general form...

y = -(2/3)x + 5/3

stich3 [128]3 years ago
4 0

Answer:

2x + 3y =  5.

Step-by-step explanation:

First find the slope  of the line:

Slope = (3 - (-1)) / (-2-4)

= 4/-6 = -2/3

Now we use the point slope form of a straight line:

y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.

y - 3 = -2/3(x - (-2))

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

3y - 9 = -2x - 4

2x + 3y = 5.

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Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0,2).<br> y =
telo118 [61]

Answer:

y =( -1/2 )x + 2

Step-by-step explanation:

first step is to determine the slope of the line ( which is the rise over the run) or symbolically slope is defined as m= ∆x / ∆y, so plugging those values we get...

m= ∆x / ∆y = (-1 - 0) / (4 - 2) = -1 / 2

so next is to find the zero( y-intercept) of the function by ....

y = mx + b

y = ( -1/2)x + b (since m is equal to -1/2)

2 = ( -1/2)0 + b

2= b

3 0
3 years ago
A picture is 7 3/5 cm wide how much should it be trimmed to fit in a frame 7 3/10cm wide​
makvit [3.9K]
3/5 -3/10=
6/10 -3/10 =
3/10
It should be trimmed by 3/10 cm
3 0
2 years ago
Read 2 more answers
Please help, I will give brainliest to best answer
Maru [420]

Answer: corn flour

Step-by-step explanation:

WF: 12.5/5 =2.5 per pound

RF: 24/8 = 3 per pound

CR: 33.75/15 = 2.25 per pound

SF: 55.2/24=2.4 per pound

4 0
2 years ago
3. What % of 100 is 13?
Sedbober [7]

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 13 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 13 is 100%, so we can write it down as 13=100%.

4. We know, that x is 100% of the output value, so we can write it down as x=100%.

5. Now we have two simple equations:

1) 13=100%

2) x=100%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

13/x=100%/100%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 100% of 13

13/x=100/100

(13/x)*x=(100/100)*x       - we multiply both sides of the equation by x

13=1*x       - we divide both sides of the equation by (1) to get x

13/1=x

13=x

x=13

now we have:

100% of 13=13

Step-by-step explanation:

Have A Wonderful Day !!

5 0
3 years ago
On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

3 0
3 years ago
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