Question

Write an equation in slope-intercept form of

the line that passes through (-6,4) and
(-1,2).

Answer 1

Explanation:

(-6 , 4) & (-1 , 2)

Slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

`= (2-4)/(-1-[-6])\\\\= (-2)/(-1+6)\\\\= (-2)/(5)`

m = -2/5 & (-6 , 4)

y -y1 = m(x -x1)

`y - 4 = (-2)/(5)(x - [-6])\\\\y - 4 = (-2)/(5)(x + 6)\\\\y - 4 = (-2)/(5)x + 6*(-2)/(5)\\\\y = (-2)/(5)x -(12)/(5)+4\\\\y=(-2)/(5)x-(12)/(5)+(4*5)/(1*5)\\\\y=(-2)/(5)x-(12)/(5)+(20)/(5)\\\\y=(-2)/(5)x+(8)/(5)`