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3 years ago

A line includes the points (6,9) and (14, 17). What is its equation in slope-intercept form?

Mathematics

1 answer:

Firlakuza [10]3 years ago

5 0

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9) (14, 17)

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1$

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3

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3 years ago

Where does the line y = 3x + 5 cross the y-axis?

crimeas [40]

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3 years ago

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3 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

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3 years ago

A soft drink machine outputs of29 ounces per cup. The machines output is normally distributed with with a standard deviation of

Nataly_w [17]

Answer:

You will use the z score to find this so need a z score chart.

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3 0

3 years ago