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murzikaleks [220]
3 years ago
14

Enter the equation of the line which passes through the points (0,−3) and (2, 1)

Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer:

y = 2x -3

Step-by-step explanation:

The formula for the equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept of the line. I will be calculating the slope of the line using the points (0, 3) and (2, 1)

Slope = \frac{rise}{run}

          = \frac{1-(-3)}{2-0}

          = \frac{1+3}{2-0}

          = \frac{4}{2}

          = 2

The y-intercept is the point on the y-axis when the point on the x-axis is 0. Based on the point (0, -3), you can see that the point on the y-axis, while the point on the x-axis is 0, is -3. Thus, the y-intercept is (-3).

Overall, the equation of the line is: y = 2x-3

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Trapezoid JKLM is is shown below. What is the length in centimeters, of KL
IrinaVladis [17]

The complete question is:

Trapezoid JKLM is shown below.

What is the length, in centimeters, of KL ?

A. 12 cm

B. 10 cm

C. 9 cm

D.  6 cm

The mentioned figure is attached.

Answer:

\large\boxed{option\text{ B. }(\overline{KL})=10cm}

Explanation:

1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.

2. The height 8 cm is one leg of the right triangle.

3. The other leg may be found by difference:

     \overline{ML} -\overline{JK}=15cm-9cm=6cm

4. Now you can use Pythagora's theorem:

hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm

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