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

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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step-by-step explanation: