Write the equation of the line that passes through the points (1, -6) and (8, 9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer 1

Answer:

[tex]y-9 = \frac{15}{7} (x-8)[/tex]

Step-by-step explanation:

Point-slope form is represented by [tex]y-y_1 = m (x-x_1)[/tex]. To write an equation with it, we need the slope of the line and a point the line crosses through. We already have at least one point the line crosses through, so let's figure out the slope.

To find the slope, use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line crosses. So, using the x and y values of (1, -6) and (8, 9), substitute them into the formula and solve:

[tex]\frac{(9)-(-6)}{(8)-(1)} \\= \frac{9+6}{8-1} \\= \frac{15}{7}[/tex]

Thus, the slope is [tex]\frac{15}{7}[/tex].

2) Now, using the point-slope form of  [tex]y-y_1 = m (x-x_1)[/tex],  substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values in order to write an equation in point-slope form. The [tex]m[/tex] represents the slope, so substitute [tex]\frac{15}{7}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line. So, choose any one of the points given - either one is fine - and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. (I chose (8,9)). This gives the following equation and answer:

[tex]y-9 = \frac{15}{7} (x-8)[/tex]


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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

x=35

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Remark

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So you are going right. The exponent is minus. You have 2 places to go to get a number between 1 and 9.99999. In this case, the coefficient is 3.55 So it goes in the blue box.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

Answer:

[tex]\frac{1}{6}\ juice[/tex]

Step-by-step explanation:

The computation is shown below:

Since [tex]\frac{1}{8}[/tex] quart of juice would be make in [tex]\frac{3}{4}[/tex] minutes

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

I think there are multiple answers to this but I will just give mine

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Answers

Answer:

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Step-by-step explanation:

53.89+18%

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Answer:

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Answer:

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Step-by-step explanation:

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PREV
1
2
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Answers

Given:

A figure in which a transversal line t intersect the two parallel lines a and b.

To find:

The measure of the numbered angles.

Solution:

If a transversal line intersect the two parallel lines, then

1. Corresponding angles are equal.

2. Alternate interior angles are equal.

3. Alternate exterior angles are equal.

Now,

[tex]m\angle 1+99^\circ=180^\circ[/tex]              (Linear pair)

[tex]m\angle 1=180^\circ-99^\circ[/tex]

[tex]m\angle 1=81^\circ[/tex]

[tex]m\angle 2=99^\circ[/tex]                         (Vertically opposite angles)

[tex]m\angle 3=\angle 1=81^\circ[/tex]                (Vertically opposite angles)

[tex]m\angle 4=99^\circ[/tex]                         (Corresponding angles)

[tex]m\angle 5=\angle 3=81^\circ[/tex]                (Alternate interior angles)

[tex]m\angle 6=99^\circ[/tex]                         (Alternate exterior angles)

[tex]m\angle 7=\angle 3=81^\circ[/tex]                (Corresponding angles)

Therefore, [tex]\angle 1=81^\circ, \angle 2=99^\circ,\angle 3=81^\circ, \angle 4=99^\circ,\angle 5=81^\circ, \angle 6=99^\circ,\angle 7=81^\circ[/tex].

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