The equation of the line will be y = ( 2 / 3 ) x + 3.
<h3>What is an equation of the line?</h3>
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the equation of the line that passes through the points (3,5) and (6,7).
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
First, calculate the slope of the line:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 7 - 5 ) / ( 6 - 3 )
Slope = ( 2 / 3 )
The y-intercept will be calculated as follows:-
y = mx + c
5 = ( 2 / 3 ) x 3 + c
5 = 2 + c
c = 3
The equation of the line will be calculated as;-
y = mx + c
y = ( 2 / 3)x + 3
Therefore, the equation of the line will be y = ( 2 / 3 ) x + 3.
To know more about an equation of the line follow
brainly.com/question/18831322
#SPJ1
