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2 years ago

What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write

Mathematics

2 answers:

Assoli18 [71]2 years ago

7 0

Answer:

Slope: 2

The slope how much y increases when x increases by 1.

Step-by-step explanation:

1. Find the difference between both y-coordinates. (6)

2. Find the difference between both x-coordinates. (3)

Divide the difference between y and x. y/x=2

The slope is 2.

Natasha2012 [34]2 years ago

7 0

Answer:

The slope of line that passes through the points (2, -4) and (5, 2) is 2.

Step-by-step explanation:

Here's the required formula to find slope line :

${\longrightarrow{\pmb{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}$

As per given question we have provided that :

$\begin{gathered}\footnotesize\rm {\underline{\underline{Where}}}\begin{cases}& \sf y_2 = 2\\& \sf y_1 = - 4\\ & \sf x_2 = 5\\ & \sf x_1 = 2\end{cases} \end{gathered}$

Substituting the values in the formula to find slope line that passes through the points :

$\begin{gathered}\qquad{\longrightarrow{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{(2) - ( - 4)}{5 - 2}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{2 + 4}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{6}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = 2}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{m = 2}}}}}} \end{gathered}$

Hence, the slope of line that passes through the points (2, -4) and (5, 2) is 2.

$\rule{300}{2.5}$

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There is a triangular parking lot at the local mall. The second angle of the triangular parking lot is six more than twice as la

Travka [436]

Answer:

The measure of the three angles are;

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The second angle is 28°

The third angle is 90°

Step-by-step explanation:

The given information are;

The shape of the parking lot = Triangular

Let the angles of the triangle be given as follows

First angle = A

Second angle = B

Third angle = C

The given triangle interior angle dimensions are;

A = 6 + 2× B

C = A + B

However, we have;

A + B + C = 180° (Angle sum property for a triangle)

Therefore;

A + B + C = 180° gives;

C + C = 180° (Transitive property)

2·C = 180°

C = 180°/2 = 90°

C = 90°

However, C = A + B therefore;

90° = A + B and, A = 6 + 2 × B, we get;

A + B = 90° (Symmetric property)

6 + 2× B + B = 90° (Substitution property)

6 + 3·B = 90°

3·B = 90° - 6° = 84°

B = 84°/3 = 28°

B = 28°

From, A = 6 + 2 × B, we have;

A = 6 + 2 × 28° = 62°

A = 62°

First angle = A = 62°

Second angle = B = 28°

Third angle = C = 90°

The measure of the three angles are;

First angle is 62°

Second angle is 28°

Third angle is 90°.

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3 years ago

Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?

Salsk061 [2.6K]

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Maksim231197 [3]

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For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

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