Write an equation of the line passing through each of the following pairs of points.
(0, 0), (4, 3)

y = x

Step-by-step explanation:

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

y = mx ( where m is the slope )

m = = , thus

y = x

The equation of the line passing through (0,0) and (4,3) is  

Solution:

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

Here,

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

Substituting the values we get,

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

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

Therefore the slope intercept equation becomes

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