Answer:
(7/8)x - 39/8.
Explanation:
To find the equation of the line that passes through the points J(1, -4) and K(9, 3), you can follow the same steps as before:
1. Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Given J(1, -4) and K(9, 3):
m = (3 - (-4)) / (9 - 1) = 7 / 8
2. Use one of the points (let's use J: x1 = 1, y1 = -4) and plug it into the point-slope form:
y - (-4) = (7/8)(x - 1)
Simplify the equation:
y + 4 = (7/8)x - 7/8
3. Subtract 4 from both sides:
y = (7/8)x - 7/8 - 4
y = (7/8)x - 7/8 - 32/8
y = (7/8)x - 39/8
So, the equation of the line passing through J(1, -4) and K(9, 3) is y = (7/8)x - 39/8.