Answer:
Slope-intercept form: y = 1/4x + 2
Explanation:
The general equation of the point-slope form is given by:
(y - y1) = m(x - x1), where
The general equation of the slope-intercept form is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
We can convert y - 4 = 1/4(x - 8) by distributing the 1/4 and isolating y on the left-hand side:
y - 4 = (1/4 * x) + (1/4 * -8)
(y - 4 = 1/4x - 2) + 4
y = 1/4x + 2
Thus, the slope-intercept form of the line passing through the points (8, 4) and (0, 2) is y = 1/4x + 2.