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1 year ago

Directions. Answer questions (a – f) based on the following graph.

Mathematics

1 answer:

OleMash [197]1 year ago

3 0

A. When x = -1, the value of y is equal to 3.

B. When y = 7, the value of x is equal to 1.

C. The y-intercept of the graph is equal to -2.5.

D. The x-intercept of the graph is equal to 5.

E. The slope of the line is equal to -1.75

F. The equation of the line is equal to y = -1.75x - 2.5

<h3>What is y-intercept?</h3>

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

<h3>How to calculate the slope and equation of this line?</h3>

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

m represents the slope of a line.
x and y are the points on a graph.
c represents the y-intercept.

Making slope (m) the subject of formula, we have the following:

Slope, m = (y - c)/x

Slope, m = (1 - (-2.5))/-2

Slope, m = (1 + 2.5)/-2

Slope, m = -3.5/2

Slope, m = -1.75.

For the equation of this line, we have:

y = mx + c

y = -1.75x - 2.5

Read more on slope here: brainly.com/question/14345501

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Answer:

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Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

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- That means its magnitude is 7 and its direction is $\frac{2\pi }{3}$

∴ x = 7 cos( $\frac{2\pi }{3}$ )

∴ y = 7 sin( $\frac{2\pi }{3}$ )

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∵ sin( $\frac{2\pi }{3}$ ) = $\frac{\sqrt{3}}{2}$

- Substitute them in x and y

∴ x = (7)( $-\frac{1}{2}$ )

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∴ y = (7)( $\frac{\sqrt{3}}{2}$ )

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∴ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <-0.5 , 4+3.5 $\sqrt{3}$ >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

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