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Luden [163]
2 years ago
9

Anyone? please i need help

Mathematics
2 answers:
arsen [322]2 years ago
6 0
<span><u><em>Answer:</em></u>
y = 5x - 7

<u><em>Explanation:</em></u>
<u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept

<u>1- getting the slope:</u>
The slope of the line can be calculated using the following formula:
m = </span>\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>\frac{3-8}{2-3}<span> = 5

<u>Therefore, the equation now became:</u>
y = 5x + c

<u>2- getting the y-intercept:</u>
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7

<u>Based on the above, the equation of the line is:</u>
y = 5x - 7

Hope this helps :)</span>
xenn [34]2 years ago
5 0

Answer:

y= 5x-7

Step-by-step explanation:

Using slope-intercept form:

The equation of line is given by:

y=mx+b                    .....[1]

where,

m is the slope of the line

b is the y-intercept.

As per the statement:

The points (3, 8) and (2, 3) fall on a particular line.

Using slope(m) formula:

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given points we have;

m = \frac{3-8}{2-3}=\frac{-5}{-1}=5

⇒m = 5

Put m = 5 in [1] we have;

y=5x+b

Substitute the point (3, 8) we have;

8 = 5(3)+b

8 = 15+b

Subtract 15 from both sides we have;

-7 = b

or

b = -7

Then we have;

y= 5x-7

Therefore, the equation of line in slope intercept form is, y= 5x-7

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