Answer: C 3x + 5y = 1
Solution:
Step 1: To find the equation of line first using both the coordinates given on the graph find the slope using the formula below.
The coordinates are ( -3, 2 ) and ( 2, -1)
m = y2-y1/x2-x1
m = -1-2 / 2- (-3)
m = -3 / 5
Step 2: Now to find line of equation of line we need to find the y intercept using the equation:
y = mx + b
Where
y = y coordinate m = slope x = x coordinate b = y intercept
Choose any one pair of coordinates to find the y intercept. I will be using (2, -1)
y = mx + b
-1 = ( -3 / 5) (2) + b
-1 = -6 / 5 + b ( Don't forget to take the LCM)
-1 = -6/5 + 5b
-5+6 = 5b
1/5 = b
so the equation of line is
y = -3/5 x + 1/5
5y = -3x + 1
3x + 5y = 1
