Write an equation in point slope form for a line that includes the origin and (9,-3)

1 answer:

3 0

So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope -1/3 and y intercept 0</span>

You might be interested in

Write in decimal form:4 x 100 +2 x 10+4 X 1 +7 (1/10) +7 x (1/100) +0 x (1/1000)

Helga [31]

This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.

4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400

2*10 → This multiplication indicates that the second digit of the number is in the place of the "tens", the result of the multiplication is 20

4*1 → This multiplication indicartes that the third digit of the number represents the "units", te result of the multiplication is 4

After the units you have to put the decimal point and all digits below it will be decimal values.

7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7

7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07

0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000

To write the number in decimal form you have to put each digit in their given order, or add the result of each multiplicatin toghether:

400+20+4+0.7+0.07+0.000

424.770

7 0

1 year ago

Y varies directly as x . If y is 2 when x is 8, then the constant of variation is 1/4 . True or False

dedylja [7]

When y = 2, x = 8.

This can be written as: 2/8.

Simplified: 1/4

True

3 0

3 years ago

Read 2 more answers

At a party, there are 2 six-packs of regular cola, 1 six-pack of diet cola, 1 six-pack of cherry cola, and 1 six-pack of vanilla

aliya0001 [1]

Answer:

Step-by-step explanation:

There are 5 total 6-packs of cola. 1 is cherry and the other is vanilla. 2 out of 5 are the flavors. This means you have a 2 in 5 chance of getting a cherry or vanilla cola.

8 0

3 years ago

if i bottle flip a bottle 17 times and there is a ratio of 2 to 3 of it landing how many times will it land

blondinia [14]

The bottle will land about 11 out of the 17 times
hope i helped ( ಥـْـِـِـِـْಥ)

7 0

3 years ago

Find j. 6 + 2(3j – 2) = 4(1 + j)

Sindrei [870]

Answer:

j=1

Step-by-step explanation: