Answer:
y = [tex]-\frac{2}{3}[/tex] x - [tex]-\frac{13}{3}[/tex]
Step-by-step explanation:
Given dimensions:
Slope = [tex]-\frac{2}{3}[/tex]
Coordinates = (1, -5)
Now;
Equation of the line through the given points;
Solution:
The equation of a line is given as;
y = mx + c
x and y are the coordinates
m is the slope
c is the intercept
So;
let us find the y-intercept;
-5 = [tex]-\frac{2}{3}[/tex] x 1 + C
c = -5 + [tex]\frac{2}{3}[/tex] = [tex]-\frac{13}{3}[/tex]
The equation of the line is ;
y = [tex]-\frac{2}{3}[/tex] x - [tex]-\frac{13}{3}[/tex]
