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Complete the equation of the line through (4,-8) and (8,5)

User Jiddo
by
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2 Answers

0 votes

Answer:

13/4 x -21

Explanation:

User Kusum
by
6.7k points
2 votes

Answer:

The equation is
y=(13)/(4) x-24

Solution:

Here,
x_(1)=4 ; y_(1)=-8 ; x_(2)=8 ; y_(2)=5

We know the slope of an equation is given by y=m x+c

To find the value of m, we use the below given formula


m=(y_(2)-y_(1))/(x_(2)-x_(1))

Substituting the values we get,


\mathrm{m}=(5-(-8))/(8-4)


\mathrm{m}=(5+8)/(4)


\therefore m=(13)/(4)

Substituting the value of m in the slope intercept form we get,


y=(13)/(4) x+c

To find the The value of c, we substitute the value of x and y from any two given point. Let us take x = 4 and y = -8


\Rightarrow-8=(13)/(4)(4)+\mathrm{c}


\Rightarrow-8=13+c


\Rightarrow-8-13=c


\Rightarrow-21=c

Therefore, the slope intercept equation becomes
y=(13)/(4) x-21

User Alex Stybaev
by
6.7k points