Question

Find the equation of a line that passes through the point (3,2) and has a gradient of - 1/3

Leave your answer in the form y=mx + c​

Answer 1

y = -1/3x +3

Explanation:

When given a point and slope, it is convenient to start with a point-slope form of the equation of a line.

y = m(x -h) +k . . . . . line with slope m through point (h, k)

y = (-1/3)(x -3) +2 . . . line with slope -1/3 through point (3, 2)

y = -1/3x +3 . . . . . . . simplified to slope-intercept form