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Cerrena [4.2K]
3 years ago
11

What is the equation of this line? Picture included

Mathematics
1 answer:
enot [183]3 years ago
7 0
A straight line needs two pieces of information to be identified, a gradient and a y-intercept (technically any point will do but the y-intercept is particularly convenient if we have it).

The gradient is calculated by taking two points on the line, and dividing the change in y-coordinate by the change in x-coordinate between them. I'm going to take the points (0,-3) and (2,-2).

The change in y-coordinate is (-2) - (-3) = 1

The change in x-coordinate is (2) - (0) = 2.

Gradient = m = 1/2

Next we identify the y-intercept, the value of y when x = 0. This value is -3, and we call it c.

The equation of a line in slope-intercept form is y = mx + c. Slotting in the values for m and c we have ascertained, we find that the equation of this line is:

y = (1/2)x - 3

I hope this helps :)
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ozzi

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Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the spe
posledela

Answer:

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Step-by-step explanation:

Let x = Courtney's walking speed

then

(x + 1) = Brandi's walking speed

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Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time

6.5/x + 1 = 5/x

Cross multiply

6.5x= 5(x+1)

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1.5x = 5

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

Note that:

(x + 1) = Brandi's walking speed

3.33mph + 1 = 4.33mph

Therefore,

Courtney's walking speed = 3.33mph

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3 years ago
A line is defined by the equation 2 x + y = 4. Which shows the graph of this line?
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Answer:

Step-by-step explanation:

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The halves of the rhombus separated by line BD are equilateral triangles.
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∠BMD = 108°
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3 years ago
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