Question

Write the slope-intercept form of the equation

(no spaces)
through: (3,-1)
perpendicular to y=3/5x+3

Answer 1

`y=-(5)/(3)x+4`

Explanation:

To write down a line that is perpendicular to one line, make sure that their slopes give a product of -1:

`(3)/(5)*m_2 =-1\\m_2=-(5)/(3)`

Write down an equation in the point-slope form and replace everything in and simplify:

`y_2-y_1=m(x_2-x_1)\\y-(-1)=-(5)/(3) (x-3)\\y+1=-(5)/(3)x+5\\y=-(5)/(3)x+4\\`

Answer 2

y = -5/3x + 4

Explanation:

slope = -5/3

-1 = -5/3(3) + b

-1 = -5 + b

4 = b

y = -5/3x + 4