Question

Write an equation of the line passing through the points ​(4​,​12) and ​(-2​,​-18)

Answer 1

y = 5x - 8

Explanation:

slope = (- 18 - 12)/(- 2 - 4) = -30/- 6 = 5

y - y = m(x - x)

y - 12 = 5 (x - 4)

y - 12 = 5x - 20

y = 5x - 20 + 12

y = 5x - 8

Answer 2

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