Answer:
y = -2x + 10
Step by step explanation:
The slope-point formula, which is as follows, can be used to determine the equation of the line passing through the points (1, 8) and (3, 4).
y - y1 = m(x - x1) (x - x1)
where (x1, y1) is one point on the line, (x, y), and (m) is the slope of the line.
The following formula is used to determine the line's slope:
m = (y2 - y1) / (x2 - x1) = (4 - 8) / (3 - 1) = -4/2 = -2
Now, we can enter one of the points, let's say (1, 8), together with the slope into the slope-point formula:
y - 8 = -2(x - 1) (x - 1)
By extending the right side, we obtain:
y - 8 = -2x + 2
By adding 8 to both sides, we get:
y = -2x + 10
The line's equation is therefore y = -2x + 10, passing through the points (1, 8) and (3, 4).
Hope it helps! :)