Answer:
5y + 2x = 11
Explanation:
Given in the question,
co-ordinates of two points on graph = (3,1) and (-2,3)
To find,
equation of the line using the two co-ordinates given
Standard Equation of straight line
Ax+By=C
where y is y co-ordinate of a line
x is x coordinate of a line
c is intercept
First find gradient of the line
gradient = (y2 - y1) / (x2 - x1)
gradient = (3-1) / (-2-3)
gradient = -(2/5)
put value of gradient and a coordinate in the equation
y = mx + c
1 = (-2/5)(3) + c
1 = -6/5 + c
1 + 6/5 = c
c = 11/5
So equation of the given line in standard
y = (-2/5)x + 11/5
5y = -2x + 11
5y + 2x = 11