taytayswizzle27
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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

Sagot :

Leora03

Answer:

[tex]y = \frac{1}{7} x - 1 \frac{6}{7} [/tex]

Step-by-step explanation:

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

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

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

Slope

[tex] = \frac{ - 3 - ( - 2)}{ - 8 - ( - 1)} [/tex]

[tex] = \frac{ - 3 + 2}{ - 8 + 1} [/tex]

[tex] = \frac{ - 1 }{ - 7} [/tex]

[tex] = \frac{1}{7} [/tex]

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

[tex]b = - 1 \frac{6}{7} [/tex]

Thus the equation of the line is [tex]y = \frac{1}{7} x - 1 \frac{6}{7} [/tex].

Answer:

45

Step-by-step explanation:

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