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2 votes
Write an equation of the line passing through each of the following pairs of points.

(0, 0), (4, 3)

User Kara Potts
by
7.8k points

2 Answers

2 votes

Answer:

y =
(3)/(4) x

Explanation:

The equation of a line passing through the origin (0, 0 ) is

y = mx ( where m is the slope )

m =
(rise)/(run) =
(3)/(4), thus

y =
(3)/(4) x

User Predrag Maric
by
7.5k points
4 votes

Answer:

The equation of the line passing through (0,0) and (4,3) is
y=(3)/(4) x

Solution:

Given pair of points are (0,0) and (4,3)

Here,
x_(1)=0 ; y_(1)=0 ; x_(2)=4 ; y_(2)=3

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

Where “m” is the slope of the line and “c” is the y-intercept

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


\mathrm{m}=(y_(2)-y_(1))/(x_(2)-x_(1))

Substituting the values we get,


\mathrm{m}=(3-0)/(4-0)=(3)/(4)

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


y=(3)/(4)x + c

To find the value of c, we substitute the value of x and y from any two given point. Lets take x = 4 and y = 3


\begin{array}{l}{3=(3)/(4)(4)+c} \\ {3=3+c} \\ {c=0}\end{array}

Therefore the slope intercept equation becomes
y=(3)/(4) x

User Tobin
by
7.9k points

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