All categories

3 years ago

Part 1: Write the equation of the line that passes through the points (–1, –4) and (2, 5).

2 answers:

5 0

Y - (-4) = (5 - (-4))/(2 - (-1)) (x - (-1))
y + 4 = (5 + 4)/(2 + 1) (x + 1)
y + 4 = 9/3 (x + 1)
y + 4 = 3(x + 1)
y + 4 = 3x + 3
y = 3x + 3 - 4
y = 3x - 1

Fittoniya [83]3 years ago

3 0

Slope is important; so lets find it; subtract points and stack y/x (2 , 5) (–1, –4) ------- 3 , 9 ; slope = 9/3 = 3 the equation of the line is: y = mx -mPx + Py , where (Px,Py) is any point that is given

and m=slope :) y = 3x -3(2)+5 y = 3x -6+5 y = 3x -1

You might be interested in

A pizza is taken out of an oven and placed on a counter. The temperature, T, in degrees Fahrenheit, of the pizza after t minutes

zavuch27 [327]

The answer was the second graph, or B

6 0

4 years ago

Read 2 more answers

20.2 = how many tenths

guapka [62]

A tenth is 0.1
so 0.2/0.1 = 2
there are 2 tenths in 20.2

7 0

3 years ago

Read 2 more answers

the ages of sari and justin can be represented as two consecutive integers. The product of their age is 72. Justin is older. wri

Lelechka [254]

The age of Sari is 8 years.

The age of Justin is 9 years.

Explanation:

Let x denote the age of Justin.

Let y denote the age of Sari.

Given that the product of their age is 72.

Thus, it can be written in equation as

$xy=72$

Since, the numbers x and y are consecutive integers and Justin is older, then, it can be written as,

$x=y+1$

Therefore, the two equations are $xy=72$ and $x=y+1$

The ages of Sari and Justin:

The ages of Sari and Justin can be determined by solving the two equations.

Let us solve the equations using substitution method.

Substituting $x=y+1$ in the equation $xy=72$ , we have;

$(y+1)y=72$

$y^2+y=72$

$y^2+y-72=0$

Factoring the equation, we get;

$(y-8)(y+9)=0$

$y=8 \ or \ y=-9$

The value of y cannot be negative.

Thus, $y=8$ is the value of y.

Substituting $y=8$ in the equation $x=y+1$ , we have;

$x=8+1$

$x=9$

Thus, the value of x is 9.

Therefore, the age of Sari is 8 years and the age of Justin is 9 years.

5 0

3 years ago

Draw any circle and mark (a) its centre (b) a radius (c) a diameter (d) a sector

Nonamiya [84]

Answer:

I hope it's helpful for you

4 0

2 years ago

What is this please help

alexdok [17]

I am not exactly sure what the answer is but I remember when I was learning about it before. There is too much problem solving to remember all of them

5 0

3 years ago

Read 2 more answers