Question

Could Somebody Help Me With My Geometry

Answer 1

y = -5/4x + 2.25

Explanation:

gradient -

`= (y - y1)/(x - x1) \\ = ( - 4 - 6)/(5 + 3) \\ = ( - 5)/(4)`

equation of the line -

`(y - y1) = m(x - x1) \\ (y + 4) = ( - 5)/(4) (x - 5) \\ (y + 4) = ( - 5)/(4) x - 6.2 \\ y = ( - 5)/(4) x + 2.25`

Answer 2

The answer to your question is y = -5/4x + 9/4

Explanation:

Data

A (5, -4)

B (-3, 6)

Formula

Slope m = (y2 - y1) / (x2 - x1)

x1 = 5 y1 = -4

x2 = -3 y2 = 6

-Substitution

m = (6 + 4) / (-3 - 5)

-Simplification

m = 10/-8

m = -5/4

-Find the equation of the line

y - y1 = m(x - x1)

-Substitution

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

-Simplification

y + 4 = -5/4x + 25/4

-Solve for y

y = -5/4x + 25/4 - 4

y = -5/4x + 9/4