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Which equation represents a line that passes through (0,–8) and (–5,–23)?

A) y = 4x – 8

B) y = –8x + 3

C) y = 5x – 8

D) y = 3x – 8


Sagot :

The equation of line that passes through points (0,-8) and (-5,-23) is y=3x-8 which is option d.

Given that the line passes through (0,-8) and (-5,-23).

We are required to find the equation of the line that passes through (0,-8) and (-5,-23).

Equation is like a relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation, quadratic equation, cubic equation, and many more depending on the power of the variable.

The formula to form the equation from two points is as under:

[tex](y-y_{1}) =(y_{2} -y_{1} )/(x_{2} -x_{1} ) * (x-x_{1} )[/tex] in which [tex](x_{1} ,y_{1} ),(x_{2} ,y_{2} )[/tex] are the points.

(y+8)=(-23+8/-5-0)(x-0)

y+8=(-15/-5) x

y+8=3x

y=3x-8

Hence the equation of line that passes through points (0,-8) and (-5,-23) is y=3x-8 which is option d.

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