Wribreeminsl

2020-10-23

What would be the linear equation for this function, and the graph?

Sadie Eaton

Skilled2020-10-24Added 104 answers

Formula used:

Point-slope form of line:

$({y}_{2}-{y}_{1})=m({x}_{2}-{x}_{1})$

So, by the Point-Slope form of line the equation of line is given below:

$(-9-8)=m(6-4)$

$-17=m\times 2$

$2m=-17$

$m=-\frac{17}{2}$

Now$m=-\frac{17}{2}$ and take any points to find the linear equation.

$({x}_{1},{y}_{1})=(4,8){\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}m=-\frac{17}{2}$

$(y-{y}_{1})=m(x-{x}_{1})$

$(y-8)=-\frac{17}{2}(x-4)$

$(y-8)=\frac{-17x}{2}+34$

$y=\frac{-17x}{2}+34+8$

$y=\frac{-17x}{2}+42$

$y=\frac{-17x+84}{2}$

$2y=-17{x}_{84}$

So, the graph is given below:

Point-slope form of line:

So, by the Point-Slope form of line the equation of line is given below:

Now

So, the graph is given below:

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