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3 years ago

Find the equation of the line Use exact numbers.

Mathematics

1 answer:

polet [3.4K]3 years ago

3 0

→Answer:

y = -1/4x - 6

→Step-by-step explanation:

Well it is a negative slope with a y intercept of -6.

And to spring the slope we need to use the following formula.

$\frac{y^2-y^1}{x^2-x^1}$

So we need 2 points on the line to use the formula.

(-4,-5) (0,-6)

-6 - -5 = -1

0 - -4 = 4

So the slope is -1/4.

Hence, the equation is y = -1/4x - 6

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Complete the equation of the line through (-9,7) & (-6,-3)

scZoUnD [109]

Answer:

$y=-\frac{10}{3}x-23$

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3-7}{-6+9}$

$m=-\frac{10}{3}$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{10}{3}$

$(x1,y1)=(-6,-3)$

substitute

$y+3=-\frac{10}{3}(x+6)$ ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=-\frac{10}{3}(x+6)$

Isolate the variable y

Distribute right side

$y+3=-\frac{10}{3}x-20$

subtract 3 both sides

$y=-\frac{10}{3}x-20-3$

$y=-\frac{10}{3}x-23$

7 0

3 years ago

An ice cream company fills containers with 64 ounces of ice cream. The acceptable percentage of error in filling each ice cream

blagie [28]

Answer:

i dont know

Step-by-step explanation:

7 0

3 years ago

X^2-x+12 solve using the quadratic formula

devlian [24]

The quadratic formula is $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$ .

From the problem, a is 1, b is -1, and c is 12. Plugging in these values gives:

$x=\frac{-(-1(-1)\pm\sqrt{(-1)^2-4(1)(12)} }{2(1)}$

Because there is a square root of a negative number, there is no solution.

4 0

3 years ago

-6(x+7)=-4x-2<br> How many solutions does it have

geniusboy [140]

Answer:

Equation have Unique solution i.e $x=-20$

Step-by-step explanation:

Given Equation:

$-6(x+7)=-4x-2$

Solving the Equation for 'x'.

$-6(x)-6(7)=-4x-2\\\\-6x-42=-4x-2$

Adding ' $4x$ ' both sides:

$-6x+4x-42=-4x+4x-2\\\\-6x+4x-42=-2\\\\-2x-42=-2$

Adding '42' both sides:

$-2x-42+42=-2+42\\\\-2x=40$

$x=\frac{40}{-2} \\\\x=-20$

The equation have Unique solution with the value of $x=-20$

6 0

3 years ago

Janice is training for a 5K. She predicted she would spend 90 minutes running this week. She actually ran for a total of 120 min

Levart [38]

I agree with the other person that this is 25% error

4 0

3 years ago

Read 2 more answers