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Elanso [62]
3 years ago
11

Write an equation in slope-intercept form of the line that passes through the points

Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

y = 3x + 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (-1, -1), (1, 5)

(-1, -1) = (x1, y1)

(1, 5) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{5-(-1)}{1-(-1)}

Simplify:

5 - (-1) = 5 + 1 = 6

1 - (-1) = 1 + 1 = 2

\frac{6}{2}=3

The slope is 3.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (1, 5)) into the equation and solve for b:

5 = 3(1) + b

5 = 3 + b

2 = b

The y-intercept is 2.

Now that we know the slope and the y-intercept, we can write the equation:

y = 3x + 2

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This section is worth 20 points. See the scoring rubric for more details on how you

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community in the Americas and its experience involving the Columbian Exchange.

Come up with a community whose circumstances are typical of many in Central

America, the West Indies, or another part of the Americas that had direct contact with

Europeans. Tell the story in chronological order, but feel free to skip whole years or

decades so that you can cover each of the important topics related to the activity: the

availability of goods, the effects of disease, and the impact of European culture

(language and religion, for example), at the very least.

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