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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