Rewrite into standard form?

Question

(0,5), m = - 3/5

Answer 1

Since you have a point and a slope, you need to start with the point-slope form of the linear equation.

y - y1 = m (x - x1) - where (x1, y1) is the point and m is the slope.

So, you have:
y-5 = (-3/5)(x-0)

Now simplify the right side:
y-5 = (-3/5)x

Standard form is ax + by = c, so just rearrange the equation to look like that:

First, multiply both sides by 5 to get rid of the fraction:

5(y-5)= -3x
5y - 25 = -3x

Now bring the x to the left side:

3x + 5y - 25 = 0

Now bring the -25 to the right side:

3x + 5y = 25

Answer 2

Passing through (0,5) with slope m

y-5= m(x-0) y = mx +5 y = -3/5 x+5