Write an equation in standard form for the line passing through (-7,-5) and having the day y-intercept as 9x-2y=-6

ANSWER



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EXPLAIN

Let the equation of the line be



Where

is the y-intercept and

is the slope.

We can determine the y-intercept from the equation given to us.



We rewrite this line in the slope intercept form to get,



Thus implies,



The y-intercept is

Since the equation we are finding also has the same y-intercept,


We substitute this value into our equation to get,



The equation passes through

It must therefore satisfy its equation.

This implies that,









The required equation is



Or