The equation of the line passing through the points (-1, 8) and (3, 16) can be expressed as y = mx + b. Give the value of b.

Mathematics

2 answers:

vichka [17]4 years ago

4 0

The slope -intercept form of linear equation is y=mx+b.

Where m= slope and b=y-intercept.

Formula to find m is,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The line passes through (-1, 8) and (3, 16) . So, we can plug in x1=-1, y1=8, x2=3 and y2=16 in the above formula. So,

$m=\frac{16-8}{3-(-1)}$

$m=\frac{8}{3+1}$

$m=\frac{8}{4}$

So, m=2

Now we can plug in m=2, x=3 and y=16 in y=mx+b to get the value of b. So,

16=2*3+b

16=6+b

16-6=b

So, b=10.

gizmo_the_mogwai [7]4 years ago

4 0

B=10. I did all the work but I don’t feel like typing it lol

You might be interested in

Compute 41, 42, 43, 44, 45, 46, 47, and 48. Make a conjecture about the units digit of 4n where n is a positive integer. Use str

padilas [110]

Answer:

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

Step-by-step explanation:

$4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536$

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

To prove this conjecture

$4^1 = 4\\4^2 = 16$ unit digit = 6

hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )

8 0

3 years ago

Plz help me I dont get it

wlad13 [49]

So you have to decrease £30 by 20%

To do this, an easy way would be to first take away 100% from 20% because you are DECREASING :
100 - 20 = 80

Then divide your answer by 100 :
80 / 100 = 0.8

This means 0.8 is going to be your multiplier so you do
0.8 * 30 = 24

Answer = £24

5 0

3 years ago

the diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard dev

aksik [14]

Answer:

Proportion of the trees will have diameters between 2 and 6 inches = 0.8164

Step-by-step explanation:

Given -

Mean $(\nu )$ = 4