what does y equal

Question

(0,6) 3x+5y=7

 

The equation is y=

Answer 1

3x + 5y = 7

Since that is our original form, let's convert it so that we can find the slope:

5y = -3x + 7

y = -3/5 x + y

 

To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:

m = 5/3

 

From here, we use the point-slope equation and then convert that into slope-intercept form:

y - y₁ = m(x - x₁)

y - 6 = 5/3(x - 0)

y - 6 = ⁵/₃x

y = ⁵/₃x + 6