Question

4x+5y=20 in point slope form

Answer 1

y =
`-(4)/(5)` x + 4

Explanation:

Ax + By = C is standard form of linear equation.

y -
`y_(1)` = m( x -
`x_(1)` )

y = mx + b is slope intercept form of linear equation.

Thus, to write the point-slope equation we have to have the coordinates of the point that given line is passing through!

I assume, that we have to re-write the standard form of linear equation into slope-intercept form. That's mean, we have to solve given equation for "y".

5y = - 4x + 20

y =
`-(4)/(5)` x + 4

Answer 2

y = -4/5x - 4

Explanation:

y - y1 = m(x-x1)

4x + 5y = 20 ( subtract 4x on both sides)

5y = -4x + 20 (divide by 5 on each side)

y = -4/5x + 4

So we know one point is (0,4) y-intercept

now plug in (0,4)

y - 4 = -4/5(x-0) (Distribute -4/5 to x - 0)

y - 4 = -4/5x (now add 4 on each side)

y = -4/5x - 4