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Nana76 [90]
3 years ago
15

Write the equation of the line that is perpendicular to the given line and that passes through the given point

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0
Slope-intercepted form:
y=mx+b
In this equation; "m" is the slope of the line.

We have this equation:
-x+5y=14
It´s slope-intercepted form would be:
-x+5y=14
5y=x+14
y=1/5 x+14/5  (slope-intercepted form)

And the slope in this line is: m=1/5

A line perpendicular to this line will be the next slope:
m`=-1/m; 
m´=-1/(1/5)=-5

Point-slope form:we need a point (x₀,y₀) and the slope:
y-y₀=m(x-x₀)
We have a point (-5,-2) and the slope, m=-5
y+2=-5(x+5)
y+2=-5x-25
y=-5x-25-2
y=-5x-27  (slope-intercepted form)

Answer: the equation would be y=-5x-27

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Find the slope of the line that contains the two points (0,1) and (1,3)
klio [65]

Answer:

m=2 or y=2x+1

Step-by-step explanation:

first use the y2-y1/x2-x1 formula and then use y=mx+b formula

plug in 3 for y2 and 1 for y1

plug in 1 for x2 and 0 for x1

\frac{3-1}{1-0} =\frac{2}{1} =2

so ur slope is 2

_______________

for y=mx+b *extra info ig if u need it just incase*

i usually use the first point for this but u can use any one u want

plug in 0 for x

plug in 1 for y

and plug in 2 for m

1=2(0)+b

2*0=0

1=0+b

subtract o on both sides

1=b and b is ur y-intercept

y=2x+1

hope this helps

7 0
3 years ago
Find the coordinates for the midpoint of the segment with endpoints given 12,4 and -8,8
borishaifa [10]
<h2>Hello!</h2>

The answer is:

The coordinates of the midpoint are:

x-coordinate=2\\y-coordinate=6

<h2>Why?</h2>

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

We are given the points:

(12,4)\\

and

(-8,8)\\

Where,

x_{1}=12\\y_{1}=4\\x_{2}=-8\\y_{2}=8

So, calculating the midpoint, we have:

MidPoint=(\frac{12+(-8)}{2},\frac{4+8}{2})

MidPoint=(\frac{4}{2},\frac{12}{2})

MidPoint=(2,6)

Hence, we have that the coordinates of the midpoint are:

x-coordinate=2\\y-coordinate=6

Have a nice day!

8 0
3 years ago
Read 2 more answers
Collins Middle School has 217 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the
lbvjy [14]

Answer:620

Step-by-step explanation: lets say the total of school is X so:

X.35÷100=217

when we calculate this the answer will be  620

4 0
3 years ago
Read 2 more answers
How do you find the base area of a rectangular prism and a cylinder? Please help
Pani-rosa [81]

Answer:

See explanation.

Step-by-step explanation:

The 'base' of a rectangular prism refers to only one side of the rectangular prism, which is a rectangle.

The formula for the area of a rectangle is as follows:

A=lw

Where A = area, l = length, and w = width.

The 'base' of a cylinder refers to only one side of the cylinder, which is a circle.

The formula for the area of a circle is as follows:

A=\pi r^2

Where A = area and r = radius.

Just in case you typed your question incorrectly and were asking for surface area, here is the formula for surface area for both as well:

Rectangular prism: A=2(wl+hl+hw)\\

Cylinder: A=2\pi rh+2\pi r^{2}

3 0
3 years ago
Y intercept of y=5 pls heeeeeelp!!!!!
vichka [17]

Answer:

5

Step-by-step explanation:

The equation says y equals 5. I attached a graph below:

6 0
3 years ago
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