The equation that ishaving slope of -3 and passes through (-2,6) is y=-3x which is option a.
Equation is relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c and standard form of equation is y=mx+c in which m is the slope of line whose equation is found.
We have been given slope of line equal to -3 and point through which line passes being (-2,6) and we are required to find the equation of line.
As said earlier standard form is y=mx+c in which m is slope and equation is formed from the formula which is as under:
[tex](y-x_{1})=m(x-x_{1})[/tex]
putting the values in the above formula we get:
(y-6)=-3[x-(-2)]
y-6=-3(x+2)
y-6=-3x-6
y=-3x-6+6
y=-3x.
Hence the equation having slope -3 and passes through point (-2,6) is y=-3x.
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