All categories

2 years ago

A straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y

Mathematics

2 answers:

astraxan [27]2 years ago

7 0

Step-by-step explanation:

$gradient \: = \: \frac{y2 - y1}{x2 - x1}$

y2 = y , x2 = 5

y1 = 2 , x1 = 3

$- 2 \: = \: \frac{y - 2}{5 - 3}$

-4 = y-2 ==> y = -2

Serggg [28]2 years ago

7 0

Answer:

y=-2

Step-by-step explanation:

For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).

Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:

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

-2(2)=y-2

y=-4+2

y=-2

You might be interested in

Correct 8.43225 to 3 significant figures

Dafna1 [17]

Hello :D

The answer is 8.432

I hope this helps :)

4 0

2 years ago

Write 0.51 as a fraction in simplest form please help!

KonstantinChe [14]

51/100

Explain: you start with 51/100 and that can’t be simplified any further :) hope this helped

4 0

3 years ago

Wha are the equations. of the asymptotes of the graph of the function f(x)=3x^2-2x-1/x^2+3x+10

Leviafan [203]

The asymptote is the line the graph comes close to but never touches, so if you graph it out you should be able to see it! Sorry I couldn't help any more but good luck

3 0

2 years ago

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

2 years ago

Read 2 more answers

Write a recursive formula for the following sequence:10, 5, 0, -5,... *

Alika [10]

Answer:

decrease by 5

Step-by-step explanation:

n= 10

then in sequence,

n= n-5

4 0

2 years ago

A straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y​

A straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y