What is the x-intercept of the line containing the points (-6,10) and (12,-2)?

x = 9 is the x-intercept.

Step-by-step explanation:

We have given the coordinates (-6,10) and (12,-2).

We have to find the  x-intercept of the line containing these points.

First we find the slope m by using these points.

We know that m = (y₂-y₁)/(x₂-x₁)

m = -2/3

The general form of the equation of line is :

y = mx + c

Where c is the y intercept.

Using the first coordinate to find c .

10 = (-2/3)(-6) +c

c = 6

So, the required equation is :

y = (-2/3)x+6

We have to find the x-intercept.

For this we put y=0

(-2/3)x+6 = 0

2/3 x = 6

x  = 6(3/2)

x = 9 is the x-intercept.

x = 9

Step-by-step explanation:

Given that,

coordinate 1  = (-6,10)

coordinate 2 = (12,-2)

Find the slope of line which contain above coordinates

Formula to use

m =

m  = -2/3

Find the equation of the line

Formula to use

y = mx + c

where m is the slope =  -2/3

           c is the y intercept

Using coordinate (-6,10)

Plug in the formula

10 = -2/3(-6) + c

10 = 4 + c

c = 10-4

c = 6

So, the equation will be

y = -2/3x + 6

Find the x-intercept

we know that the x-intercept is the value of x when the value of y is equal to zero

so substitute y with 0 in the equation

when y = 0

0 = -2/3x + 6

2/3x = 6

x = 6(3/2)

x = 9

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

alright well the answers to your question is

2xy/9 hope this have a nice day : )

step-by-step explanation: