Question

Find the equation of the line in standard form for the given slope and point

1.(3,1) m=-3
2.(0,-4) m= 1/2

Answer 1

Explanation:

2. y + 4 = ½(x)

y + 4 = ½x

- 4 - 4

_______________

y = ½x - 4 [Slope-Intercept Form]↷

-½x - ½x

______________

-2[-½x + y = -4] [We do not want denominators in our equation, so multiply by -2 to get rid of it.] ↓

x - 2y = 8 [Simplified in Standard Form]

1. y - 1 = -3(x - 3)

y - 1 = -3x + 9

+ 1 + 1

_______________

y = -3x + 10 [Slope-Intercept Form]

+ 3x +3x

______________

3x + y = 10 [Standard Form]

I am joyous to assist you anytime.

Answer 2

1. y - 1= -3(x-3)

y - 1 = -3x + 9

y= -3x + 10

3x + y = 10

2. y + 4 = 1/2(x - 0)

y + 4 = 1/2x - 0

y = (1/2)x - 4

-x + 2y = -8