Question

A line passes through the point (-8,4) and has a slope of -3/2 .

Write an equation in point-slope form for this line.

Answer 1

y - 4 =
`-(3)/(2)(x+8)`

Explanation:

Point slope equation of a line passing through (x', y') and slope 'm' is given by,

y - y' = m(x - x')

We have to find the equation of the line which passes through (-8, 4) and slope
`(-(3)/(2))`,

By substituting these values in the equation,

y - 4 =
`-(3)/(2)(x+8)`

Therefore, point slope form for the given line is,

y - 4 =
`-(3)/(2)(x+8)`