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yanalaym [24]
3 years ago
6

Through: (-1, 0), parallel to y = 3x

Mathematics
2 answers:
evablogger [386]3 years ago
7 0

y = mx + b

m = slope

b = y-intercept

Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)

To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b

0 = 3(-1) + b

0 = -3 + b

0 + 3 = (-3 + 3) + b

3 = b

so...

y = 3x + b

Hope this helped and made sense!

~Just a girl in love with Shawn Mendes

Nataliya [291]3 years ago
3 0

Answer:

y = 3x - 3

Step-by-step explanation:

Since our line is parallel to y = 3x, our <em>slope should be 3</em>. We also have the points (-1, 0).

From here, we can use the point-slope form (how convenient):

<em>y - y₁ = m(x - x₁)</em>, where (x₁, y₁) is the given coordinate on the line, and m is the slope of the line

Plug in:<em> y - 0 = 3(x - 1)</em>

We could leave it here, but we should convert this line into the more commonly-seen slope-intercept form.

Distribute: y - 0 = 3x - 3

Identity: y = 3x - 3

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3 years ago
Ilona is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward
larisa [96]

Complete question is;

Ilona is at a friends home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home.

The expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours. Select True or False for each of the following.

1. The friends home is 10 miles from Ilonas home

2. The distance Ilona has walked away from her friends home after t hours is given by the absolute value of -2t

3.The negative sign in the term indicates that Ilona is walking toward her home

4. Ilona is walking at a rate of 10 miles per hour

Answer:

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Step-by-step explanation:

We are told that the expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours.

Now, we know that distance = speed x time

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This means that at t hours, she has walked 2t miles from her friends home.

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Since 2t is subtracted from 10 in the expression and 2t is the distance she has walked from her friends house at Time, t. It means that 10 miles is the distance from her friends house to her house.

Thus, statement 1 is also true

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