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3 years ago

Write an equation in slope-intercept form that describes the line through the points (-2,6) and (3, 1).

Mathematics

1 answer:

vladimir1956 [14]3 years ago

3 0

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-6)/(3-(-2))

m=-5/(3+2)

m=-5/5

m=-1

y-y1=m(x-x1)

y-6=-1(x-(-2))

y-6=-(x+2)

y-6=-x-2

y=-x-2+6

y=-x+4

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Help Please I dont know

dybincka [34]

Answer:

$y=2x$

Step-by-step explanation:

Here we are given that for every 2 cups of water , Jada is mixing up 4 cups of Apple Juice. Hence it makes a patter which look like this as given under in a tabular format

x y

2 4

6 12

10 20

We are required to find the equation of the relation that exit between this pattern. Assuming them to be the coordinates , we will apply the two point form and find the equation.

Two point form is

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ -----------------(A)

Where

$(x_1,y_1)=(2,4)$

$(x_2,y_2)=(6,12)$

Putting these values in A and solving

$\frac{y-4}{x-2}=\frac{12-4}{6-2}$

$\frac{y-4}{x-2}=\frac{8}{4}$

$\frac{y-4}{x-2}=2$

$y-4=2(x-2)$

$y-4=2x-4$

adding 4 on both sides

$y=2x$

4 0

3 years ago

Two fractions with a difference of 1/3 but with neither denominator equal to 3

Rudiy27

Answer:

3/9 and 6/9

Step-by-step explanation:

3/9 is simplified to 1/3

6/9 is simplified to 2/3

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3 years ago

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Oksana_A [137]

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3 years ago

Mrs. Murphy earns a 3.5% commission at her job in retail. How much does she need to sell in order to earn $630

nexus9112 [7]

Answer

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3 years ago

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Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6.

White raven [17]

Answer:

y = -0.25x + 2.25

Step-by-step explanation:

First, you can simplify the equation of the line it's perpendicular to (2y = 8x - 6) by dividing both sides by 2. This means you would get y = 4x - 3. From that you can conclude that the slope of that line is 4.

Lines always have a slope that is the negative reciprocal of the slope of the line they are perpendicular to, so you know the slope of the line is going to be -1/4.

So far, you have the equation y = -1/4x + b and you have to find b.

You can substitute in the point (-3, 3) so you would have 3= -1/4 * -3 + b

Solving,

3 = 3/4 + b

b = 2 and 1/4

Therefore the equation is y = -1/4x + 2 1/4 or y = -0.25x + 2.25

6 0

3 years ago