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# i need help

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What is an equation of the line that passes through the point (-4,5) and is perpendicular to the line 4x+y=7?PLEASE THANK YOU

Sep 17, 2020

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What is an equation of the line that passes through the point (-4,5) and is perpendicular to the line 4x+y=7?

Hello Guest!

$$4x+y=7$$

$$y=-4x+7$$

$$m=-\frac{1}{(-4)}$$

$$m=\frac{1}{4}$$

$$y=m(x-x_1)+y_1$$

$$y=\frac{1}{4}\cdot (x-(-4))+5\\ y=\frac{1}{4}x+1+5$$

$$y=\frac{1}{4}x+6$$

!

Sep 17, 2020