Answer :
Answer:
The answer is
[tex]y = \frac{1}{2} x - 8[/tex]
Step-by-step explanation:
To find the equation of the line that passes through two points , first find the slope and then use the formula
y - y1 = m(x - x1)
where m is the slope
(x1 , y1) are any of the points
To find the slope of the line using two points we use the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Slope of the line using points
(2, -7) and (8, -4) is
[tex] \frac{ - 4 + 7}{8 - 2} = \frac{3}{6} = \frac{1}{2} [/tex]
Now the equation of the line using point (2 , - 7) and slope 1/2 is
[tex] y + 7 = \frac{1}{2} (x - 2)[/tex]
[tex]y + 7 = \frac{1}{2} x - 1[/tex]
[tex]y = \frac{1}{2} x - 1 - 7[/tex]
We have the final answer as
[tex]y = \frac{1}{2} x - 8[/tex]
Hope this helps you