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nekit [7.7K]
2 years ago
12

Find the equation of the line passing through the indicated two points in standard form. (-3, 9) and (0, -5)

Mathematics
2 answers:
evablogger [386]2 years ago
8 0
 Hello .....<span>Here is a solution :
</span><span> the equation of the line is : y = ax+b

</span>the line passing through the point  (-3, 9) :  9 = a(-3)+b ..... (1)
the line passing through the point  (0, -5) :  -5= a(0)+b ..... (2)
from (2) : b = -5
in (1) : 9 = -3a-5
3a =-5-9
3a=-14 
a=-14/3

the equation of the line is : y = (-14/3)x-5
 
alexandr402 [8]2 years ago
4 0
The formula is y-y0=m(x-x0)
So we plug in the Y's and the X's given:
-5-9=m(0-(-3)) >>>> -14=m(3)>>>>> m=-14/3

The next formula is y=mx+b , choose any point to use for X and Y: I'm gonna choose (0,-5)

-5=-14/3(0)+b >>> b=-5
Your formula is: y=-14/3x-5
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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
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Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

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Check:

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6 0
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What is an equation of the line that passes through the points (4,-1) and (8,5)?
fiasKO [112]

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

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now substitute into the equation:

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here is our equation so far:

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we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

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the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

8 0
2 years ago
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