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vlada-n [284]
3 years ago
14

40 POINTS, please help

Mathematics
1 answer:
Elis [28]3 years ago
8 0

First, we must understand what standard form of a line is. Standard form of a line is written like  such that A,B, and C are all integers, and A must be positive. First, we must calculate the slope of the line that passes through theses coordinates. 

 

<span>As a refresher, this is the equation to figure out the slope of two coordinates.Now, we just simplify the numerator and denominator.  <span>  </span></span>

 

The next step is to utilize point-slope form, which is  where  is a point on the line. Of course, we already know that (7,-3) and (4,-8) both lie of the line. Therefore, plug in one fot he coordinates. Once converted into point-slope, we must then convert into standard form. This is what is demonstrated in the next step. 

 

<span>Let's multiply all sides by 3 to get rid of the fraction early.Distribute the 5 to both terms in the parentheses.Subtract 9 from both sides.Subtract 5x on both sides.We aren't done yet! The coefficient of the x-term must be positive. Therefore, divide by -1 on both sides.<span>This is standard form now, so we are done!</span></span>
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Step-by-step explanation:

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3 years ago
Write the point-slope form of the equation for a line that passes through (–1, 4) with a slope of 2.
kondaur [170]

Point slope is a really easy form for linear equations. It lets you plug in the numbers from a cordinate that the line passes through on the graph and the slope directly. Here is the point slope equation:

y(2) - y(1) = m(x(2) - x(1)

(The (2) and (1) next to the x's and y's are suposed to be underneath them. There is also supposed to be an extra parentheses at the end.)

You would replace y(1) with the y value, x(1) with the x value, and m with the slope. For example, if you have a line that crosses through the point (6, 10) with a slope of 3, this is how you would write the equation of the line in point slope form:

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Now, for this problem, we have the point (1, 4) with a slope of 2. This is the point slope form for the given point and slope:

y - 4 = 2(x - 1)

The values of y1 and x1 are the values we plugged into this equation, 4 and 1.

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3 years ago
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What expression is equvialent to -6 (-2/3 + 2x)?
finlep [7]

Answer:

the answer is −

1 2 + 4

Step-by-step explanation:

i hope this helps

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