Question

Write an equation of the line that passes through each pair of points.

Make sure it’s an equation with y=mx+b
(-8,-3), (-1,-2)
please provide explanations because i’m studying and point grinding WILL BE REPORTED

Answer 1

45

Explanation:

Answer 2

`y = (1)/(7) x - 1 (6)/(7)`

Explanation:

In y= mx +b, m is the slope and b is the y-intercept.

`\boxed{slope = (y1 - y2)/(x1 - x2) }`

where (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate

Slope

`= ( - 3 - ( - 2))/( - 8 - ( - 1))`

`= ( - 3 + 2)/( - 8 + 1)`

`= ( - 1 )/( - 7)`

`= (1)/(7)`

Substitute m= ⅐ into the equation:

y= ⅐x +b

To find the value of b, substitute a pair of coordinates into the equation.

When x= -1, y= -2,

-2= ⅐(-1) +b

-2= -⅐ +b

b= ⅐ -2

`b = - 1 (6)/(7)`

Thus the equation of the line is
`y = (1)/(7) x - 1 (6)/(7)`.