Question

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

Answer 1

Answer:

45

Step-by-step explanation:

Answer 2

Answer:

$y = \frac{1}{7} x - 1 \frac{6}{7}$

Step-by-step explanation:

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

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

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

Slope

$= \frac{ - 3 - ( - 2)}{ - 8 - ( - 1)}$

$= \frac{ - 3 + 2}{ - 8 + 1}$

$= \frac{ - 1 }{ - 7}$

$= \frac{1}{7}$

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

$b = - 1 \frac{6}{7}$

Thus the equation of the line is $y = \frac{1}{7} x - 1 \frac{6}{7}$.