y = -3/5(x-3)
y= (-3/5) x + 9/5
Step-by-step explanation:
Step 1 :
The equation of line in point and slope form is (y- y intercept) = m(x-x intercept)
Where m represents the slope and x1 and y1 are points on the line.
Given (-2,3) and (3,0) are points on the line
m = (y2-y1)/(x2-x1) = (0-3)/(3-(-2)) = -3/5
So the equation of the line in point slope form is
(y-0)= -3/5(x-3) = y = -3/5(x-3) [taking the point as (3,0)]
Step 2 :
The equation of a line in slope and intercept form is y = m x +c
m denotes the slope and the constant c denotes the y intercept (the value of intercept in the y axis when x = 0)
when x = 0, y = 9/5 [using the equation in step 1]
Hence the equation in slope and intercept form is
y= (-3/5) x + 9/5