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2 years ago

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Mathematics

1 answer:

Mrac [35]2 years ago

6 0

The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

We have two points shown in the table:

(-1, -10), and (3, 14)

$\rm (y - 14 )= \dfrac{14+10}{3+1}(x-3)$

y - 14 = 6(x - 3)

y = 6x - 4

Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

Learn more about the slope of the straight line here:

brainly.com/question/3493733

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What is the slope of the line through [-1,2] and [2,-3]

Gennadij [26K]

Answer:

-3/5

Step-by-step explanation:

to figure that out you have to do y^2 - y^1/ x^2 - x^1

2-(-1)/ -3 - 2

= 3/-5

=-3/5

8 0

3 years ago

A used car dealer has 30 cars and 10 of them are lemons (i.e.~ mechanically faulty used cars), and you don't know which is which

Triss [41]

Answer: Hence, the probability that he will get at least one lemon is 0.70.

Step-by-step explanation:

Since we have given that

Number of cars = 30

Number of lemon cars = 10

Number of other than lemon cars = 30-10 = 20

According to question, he bought 3 cars,

we need to find the probability that you will get at least one lemon.

So, P(X≤1)=1-P(X=0)=1-P(no lemon)

Here, P(no lemon ) is given by

$\dfrac{20}{30}\times \dfrac{20}{30}\times \dfrac{20}{30}=(\dfrac{20}{30})^3$

so, it becomes,

$P(X\geq 1)=1-(\dfrac{20}{30})^3=1-(0.67)^3=0.70$

Hence, the probability that he will get at least one lemon is 0.70.

5 0

3 years ago

Math problem need help

ira [324]

There is a 1/4 chance to pull a non-yellow card

4 0

3 years ago

Jose and his mother decide to bake a cake for his Father's birthday. Jose notices that after mixing the cake batter and placing

FromTheMoon [43]

Answer:

B) Chemical Change

Step-by-step explanation:

Physical change only changes the physical appearance of good, their chemical properties remaining same. These are usually reversible. Eg : Cutting a cake

Chemical change changes the physical composition of the product(s) involved. These are usually not irreversible. Eg : Baking of a cake, getting bubbles during bake process meanwhile

3 0

4 years ago

Math standard form. help!

Dennis_Churaev [7]

Answer:

y=mx+b is slope-intercept form

Ax+By=C is standard form.

IN y=mx+b, m represents the slope and B represents the y intercept.

To switch from standard form to slope-intercept form all we need to do is get y alone. thats it. By folowing these steps:

-6x+5y=-30

-6x+6x+5y=-30+6x - this cancels the x on the left side of the equation bringing us one step closer to getting y alone

5y=-30+6x

5y / 5=(-30+6x) / 5 -this last step leaves y alone and brings us to slope intercept form.

y=-6+30x

y=30x-6 - i switched the 30x and 6 because y=mx+b not y=b+mx

y=30x-6

SInce m represents the slope and b represents the y itnercept, 30 is the slope and -6 is the y intercept

30=m(slope)

-6=b(y-intercept)

Btw because the slope is 30 it means the line with point like so: / since it has a positive slope.

Hope this helps!

Step-by-step explanation:

8 0

3 years ago