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2 years ago

What is the equation of the line in the slope intercept form

Mathematics

2 answers:

Grace [21]2 years ago

7 0

Answer:

Equation of line; y = - 6x

Step-by-step explanation:

As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;

At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;

If this equation is in slope - intercept form ⇒

y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,

Equation of line; y = - 6x

sergejj [24]2 years ago

3 0

Answer:

y = -6x

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

the y intercept is 0 since it crosses the y axis at 0

To find the slope we need to points (0,0) and (10,-60)

m = (y2-y1)/(x2-x1)

= (-60-0)/(10-0)

= -60/10

= -6

The equation for the line is

y = -6x +0

y = -6x

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Marat540 [252]

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3 years ago

A company is testing and comparing two lightbulb designs. The box plots show the number of hours that each lightbulb design last

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3 years ago

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Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?

Aleksandr-060686 [28]

Answer

5 and -4

Explanation

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5 or x - 1/2 = - 4.5

x = 4 1/2 + 1/2 x = -4 1/2 + 1/2

= 5 = -4

The values of x are 5 and -4.

8 0

3 years ago

A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r

aleksandrvk [35]

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

6 0

3 years ago