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Complete the equation of the line through (4,-8) and (8,5).
Use exact numbers.

y=_______ Topic:
Slope-intercept from two points.

Respuesta :

choixongdong
slope = (5+8)/(8-4) = 13/4

y = mx + b
b= y  - mx
b = -8 - (13/4) (4)
b = -8 -13
b = -21

equation
y = 13/4x - 21

The equation of the line that passes through (4, -8) and (8, 5) in slope intercept form is y = 13 / 4 x - 21

Slope intercept form of a line

The slope intercept form of a line is represented as follows;

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

(4, -8) and (8, 5)

m = 5 + 8 / 8 - 4

m = 13 / 4

Therefore, using (8, 5)

5 = 13 / 4(8) + b

5 = 26 + b

b = 5 - 26

b = -21

Hence, the equation is as follows:

y = 13 / 4 x - 21

learn more on slope intercept form here: https://brainly.com/question/13520479

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