Answer:
[tex]y = \frac{5}{2} + \frac{19}{2}[/tex]
Step-by-step explanation:
From the question;
We are required to determine the equation of a line that passes through points (-7,-8) and (-5,-3).
Note that we can get the equation of a line when;
Therefore, since we are given two points where the line is passing through we can get the equation;
First, we determine the slope of the line;
slope = change in y ÷ change in x
That is;
[tex]slope=\frac{(-3--8)}{(-5--7)}[/tex]
[tex]=\frac{5}{2}[/tex]
Second, we take another point (x,y) and one of the points, in this case, we take (-5,-3).
Therefore;
[tex]\frac{y+3}{x+5}=\frac{5}{2}[/tex]
[tex]2(y+3)=5(x+5)\\2y + 6 = 5x +25\\2y= 5x + 19\\y = \frac{5}{2} + \frac{19}{2}[/tex]
Therefore, the equation of the line is [tex]y = \frac{5}{2} + \frac{19}{2}[/tex]
