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Mice21 [21]
2 years ago
15

Find the equation of a line that passes through the point (-1,-4) and has a gradient of 2.

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
3 0

The equation of a line that passes through the point (-1,-4) and has a gradient of 2 is y = 2x - 2

<h3>How to find equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

where

  • m  = slope or gradient
  • b = y-intercept

Therefore,

m = 2

y  = 2x + b

-4 = 2(-1) + b

-4 + 2 = b

b = - 2

Therefore,

y = 2x - 2

learn more on equation of a line here: brainly.com/question/22019640

#SPJ1

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4 years ago
What is the area of a triangle with vertices (3,0) (9,0) (7,6)
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Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

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Answer:

What type of question is this?

Step-by-step explanation:

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