Answer y = 7/9x + 3 5/9 is the equation of the line that passes through the two points given
Step by step
We are given a line crossing through points
(34, 30) and (25, 23)
We can find slope using formula
y2 - y1 over x2 - x1
23 - 30 over 25 - 34
-7 over -9 or 7/9 slope
Now use point slope formula to find y intercept
y - y1 = m ( x - x1)
y - 30 = 7/9 (x - 34)
y - 30 = 7/9x - 238/9
*238/9 simplifies to 26 4/9
Add 30 to both sides to isolate y
y -30 +30 = 7/9x - 26 4/9 + 30
Simplify
y = 7/9x + 3 5/9
This is the equation of the line