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Dovator [93]
2 years ago
10

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

the equation of the line going through the two points Question 2 What is the equation of a line in point-slope form that passes through (4, -2) and (0, -5). y - 4 = -3/4(x - (-2)) y - 4 = -3/4(x - (-2)) y - 0 = 4/3(x - (-5)) y - 0 = 4/3(x - (-5)) y - (-2) = 3/4(x - 4) y - (-2) = 3/4(x - 4) y - (-5)) = 3/4(x - 0) y - (-5)) = 3/4(x - 0)
Mathematics
1 answer:
drek231 [11]2 years ago
3 0

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

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lapo4ka [179]

Answer:

x=29.9 degrees

Step-by-step explanation:

Sides we are given: x and side length of 92.

Angle we are given: angle of measure 18.

Relative to the angle we are given, we have the opposite and adjacent sides, so we use TOA, as O is opposite and A is adjacent.

Tangent 18= x/92

Tangent 18 (92)=x

x=29.9 degrees

8 0
3 years ago
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Solve for x. MUST SHOW ALL WORK TO RECEIVE FULL CREDIT! (See picture for equation)
ioda
\frac{x}{2.4} = \frac{3}{8}

For proportions and to find x we have to cross multiply
8 × (x) = 3 × 2.4

8x = 7.2
Divide by 8 to isolate x

\frac{8x}{8} =  \frac{7.2}{8}
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3 years ago
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Find the domain of the rational expression: x-3/2x-8
miss Akunina [59]

Answer:

\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}

Step-by-step explanation:

\dfrac{x-3}{2x-8}

We know: the denominator must be different than 0.

Therefore

2x-8\neq0        <em>add 8 to both sides</em>

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3 years ago
Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1
frozen [14]

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

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<h3>semi-minor axis</h3>

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Solving for b², we have ...

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2 years ago
What is the arc measure of DBC in degree
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The length of both AB and DC is the same.

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3 years ago
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