Drag and drop numbers into the equation to complete the equation of the line in slope-intercept form.The line passes through (8, 19) and (5, 1).

Drag and drop numbers into the equation to complete the equation of the line in slopeintercept formThe line passes through 8 19 and 5 1 class=

Respuesta :

we are given two points

(8,19) and (5,1)

firstly, we need to calculate the slope

slope = y2 - y1 / x2 - x1

from the points

x1 = 8, y1 = 19, x2 = 5, y2 = 1

slope = 1 -19 / 5 - 8

slope = -18/-3

negative will cancel each other

slope = 18/3

slope = 6

slope intercept equation is

y - y1 = m(x - x1)

m = slope = 6

y1 = 19 and x1 = 8

y - 19 = 6(x - 8)

open the parentheses

y - 19 = 6*x - 6*8

y - 19 = 6x - 48

make y the subject of the formula

y = 6x - 48 + 19

y = 6x - 29