The equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points:
(3,1) and (-2,3)
The equation of the line passing through the points (3,1) and (-2,3)
[tex]\rm (y - 3) = \dfrac{3-1}{-2-3}(x+2)[/tex]
[tex]\rm (y - 3) = -\dfrac{2}{5}(x+2)[/tex]
5y - 15 = -2x - 4
2x + 5y = 11
Thus, the equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)
Learn more about the slope of the straight line here:
brainly.com/question/3493733
#SPJ1
