Question

Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.

(4,2), (1, –4)

Answer 1

9514 1404 393

Answer:

y = 2x -6

Explanation:

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (-4 -2)/(1 -4) = -6/-3 = 2

The y-intercept is given by ...

b = y -mx

b = 2 -2(4) = -6

The equation in slope-intercept form is ...

y = mx +b . . . . . line with slope m and y-intercept b

y = 2x -6