In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
slope = -2/3
point (1 , - 5)
Step 02:
graph:
equation of the line:
Point-slope form of the line
(y - y1) = m (x - x1)
x1 = 1
y1 = -5
(y - (-5)) = -2/3 (x - 1)
[tex]y\text{ + 5 = }\frac{-2}{3}x\text{ +}\frac{2}{3}[/tex][tex]\text{y = }\frac{-2}{3}x+\frac{2}{3}-5=\frac{-2}{3}x-\frac{13}{3}[/tex]
Step 03:
Graph:
y = -2/3 x - 13/3
point 1 (1 , -5)
point 2:
if x = 0, y:
y = -2/3 (0) - 13/3
y = - 13/3
point 2 (0 , -13/3)
graph:
That is the full solution
