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Find an equation of the line satisfying the given conditions. Through (6,4); perpendicular to 9x+4y=70

Find an equation of the line satisfying the given conditions.

Through (6,4); perpendicular to 9x+4y=70

Expert Solution

For two perpendicular lines the product of their slope will be -1.

In the line write the equation in the form where m is the slope of the line.

on comparing this equation with standard equation we get slope

Therefore slope of other line m₂ , we know

it is given that it passes through point (6,4) So it should satisfy in the line equation.

the equation of second line becomes

giving point , and

we get y intercept ,

so we can write line equation as ,

or or

milcah answered 4 months ago

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