Question

Write the equation of the line that passes through (1,5) and (-2, 14) in slope-intercept form

Answer 1

y = -3x + 8

Explanation:

(1, 5) ; (-2, 14)

`Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(14-5)/(-2-1)\\\\=(9)/(-3)\\\\=-3`

m = -3 ; (1 , 5)

Equation:
`y-y_(1)=m(x-x_(1))`

y - 5 = (-3)(x - 1)

y - 5 = -3x + 3

y = -3x + 3 + 5

y = -3x + 8