Answer:
Explanation:
The equation of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula for the slope of a line, which is (y2 - y1) / (x2 - x1), and the point-slope form of a line, which is y - y1 = m(x - x1).
Given the points (4,12) and (-2,-18), we can calculate the slope (m) as follows:
m = (y2 - y1) / (x2 - x1) m = (-18 - 12) / (-2 - 4) m = -30 / -6 m = 5
Then we can use the point-slope form to write the equation of the line:
y - y1 = m(x - x1) y - 12 = 5(x - 4)
Solving for y gives us the equation of the line in slope-intercept form:
y = 5x - 8