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lions [1.4K]
3 years ago
13

Write the equation of the line in slope-intercept form that goes through the points: (0, 3) and (3, -6)

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

y = -3x + 3  

Step-by-step explanation:

Slope-intercept form is represented by the equation y = mx + b. We can write an equation in point-slope form first, then convert it to that form.  

1) First, find the slope of the equation. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points into it. Then, simplify:

m = \frac{(-6)-(3)}{(3)-(0)}\\m = \frac{-6-3}{3-0}\\m = \frac{-9}{3}\\m = -3

Thus, the slope is -3.

2) Now, use the point-slope formula, y-y_1 = m (x-x_1) and substitute values for m, x_1, and y_1. From there, we can isolate y to convert the equation into slope-intercept form.

Since m represents the slope, substitute -3 in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the formula, too. (I chose (0,3), as shown below). Finally, isolate y to find the answer:

y-3 = -3(x-0)\\y-3 = -3x\\y = -3x + 3

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Answer:

3 rows/hour

Step-by-step explanation:

It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.

120 minutes = 2 hours

We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :

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So, the rate for weeding these rows of his garden is 3 rows per hour.

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3 years ago
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Gnesinka [82]

Answer:

  • A. 2 < x < 10

Step-by-step explanation:

With two congruent sides the third side is greater against a greater angle.

<u>34 < 36, therefore:</u>

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Step-by-step explanation:

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PLEASE HELP!!!!To make waffles, you need 2 cups of water for every 3 cups of flour. Write an equivalent ratio to find how much w
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Perform the following computations.You may use13≈0.333333,34= 0.75 and100301= 0.332226.(i). Compute13+34by using five significan
White raven [17]

Answer:

a. 1.0833

Absolute Error = 0.416667

Relative Error = 1.250002

b. 0.0011070

Absolute Error = 0.0011070

Relative Error = 0.003321

Step-by-step explanation:

Given

1/3 = 0.333333

3/4 = 0.75

100/301 = 0.332226

a.

1/3 + 3/4

= 0.333333 + 0.75

= 1.083333

= 1.0833 ------ Approximated to 5 significant digits

Absolute Error = |Real Value - Estimated Value|

Relative Error = Absolute Error/Real Value

Assume 1/3 to be the real value and 3/4 to be the estimated value

Absolute Error = |0.333333 - 0.75|

Absolute Error = |-0.416667|

Absolute Error = 0.416667

Relative Error = 0.416667/0.333333

Relative Error = 1.250002

b.

1/3 - 100/301

= 0.333333 - 0.332226

= 0.001107

= 0.0011070 ----- Approximated to 5 significant digits

Assume 1/3 to be real value and 100/301 to be estimated value

Absolute Error = 0.333333 - 0.332226

Absolute Error = 0.0011070

Relative Error = 0.0011070/0.333333

Relative Error = 0.003321

Absolute and relative errors are approximation errors and they are due to the discrepancy between an exact value and some approximation to them.

The absolute error is the magnitude of the difference between the exact value and the approximation. The relative error is the absolute error divided by the magnitude of the exact value

4 0
3 years ago
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