Answer:
3y = -2x -7
Step-by-step explanation:
The equation of the line;
y = [tex]-\frac{2}{3}[/tex]x + 8
Unknown:
Equation of the line passing through (4, -5);
Solution:
To solve this problem;
the equation of a line is given as;
y = mx + c
where x and y are the coordinate
m is the slope
c is the intercept
To solve this problem,
The slope [tex]-\frac{2}{3}[/tex] if the same as that of the new line since they are parallel;
Equation of the new line;
x = 4 and y = -5
-5 = [tex]-\frac{2}{3}[/tex] x 4 + c
-5 = [tex]-\frac{8}{3}[/tex] + c
c = -5 + [tex]\frac{8}{3}[/tex]
c = [tex]-\frac{7}{3}[/tex]
So, the equation of the line is;
y = [tex]-\frac{2}{3}[/tex]x - [tex]\frac{7}{3}[/tex]
or ;
3y = -2x -7
