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3 years ago

What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?

Mathematics

1 answer:

gogolik [260]3 years ago

4 0

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

$y-1=2\left(x-\left(-1\right)\right)$

$y-1=2\left(x+1\right)$

Add 1 to both sides

$y-1+1=2\left(x+1\right)+1$

Simplify

$y=2x+3$

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

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Fraction is equivalent to a terminating decimal

11111nata11111 [884]

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If a decimal ends at two places after the decimal...(ex. .75)...it ends in the hundredths place, can be written as that number in the numerator and 100 in the denominator....(ex 75/100) and is read as seventy-five hundredths.

one place after the decimal is tenths (over 10), two places is hundredths (over 100), three places is thousandths (over 1000) , four places ten-thousandths (over 10000) and so on.

Because each decimal in your problem has a different amount of decimal places, it makes for different denominators. But, We can add a zero to the end of a decimal without changing it's value; if we add a zero to the end of .5 and make it .50 , we then can write it as 50/100 and would now have like denominators.

if .5 = .50 = 50/100 and .75 = 75/100

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That would be fractions such as 51/100, 52/100, 53/100.......74/100.

6 0

3 years ago

Find the distance between M(6, -7) and a line that contains<br> C(-6, -2) and H(-1, 10).

77julia77 [94]

Answer

Step-by-step explanation:

i really need help with it

4 0

2 years ago