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2 years ago

Write equation in slope intercept from of the line

Mathematics

1 answer:

Ymorist [56]2 years ago

4 0

Answer:

y= 1/2x + 3

Step-by-step explanation:

good luck lmk if u have any more questions

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I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

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2 years ago

Danielle's basic cell phone rate each month is $29.95. Add to that $5.95 for voice mail and $2.95 for text messaging. This past

kondor19780726 [428]

The answer o the question is $38.85.

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2 years ago

Is 0.74 greater than 3/2

KonstantinChe [14]

Answer:

Step-by-step explanation:

if you simplify 3/2 to a decimal, you get 1.5

comparing 0.74 to 3/2 we can conclude that 3/2 is in fact greater

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2 years ago

Is this a true statement X^2=1 if and only if x=1 or x=-1

Stells [14]

Answer:

yes the statement is true

Step-by-step explanation:

if you plug in 1^2 you are just multiplying 1 by its self

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2 years ago

An example of a(n) ___is 5, 12 and 13.

Anarel [89]

Answer:

Pythagorean triple

Step-by-step explanation:

This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).

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1 year ago