Type an equation for the line described. Type your answer in the form g(x)=mx+b. If a value is not an integer type it as a decimal rounded to the nearest hundredth. Do not put any spaces between your characters.A line perpendicular to h(x)=\frac{-1}{2}x+4 and passing through the point (-4,-1) The slope of our perpendicular line will be Answerand it has an equation of g(x)=Answer.

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AashnaN82523 AashnaN82523 · Answer 1 · 2022-10-29T07:00:05+02:00

A line that is perpendicular to another has the inverse slope of the other times -1 . This can be written on the following equation:

[tex]m1\text{ = }\frac{-1}{m2}[/tex]

If m2 is -1/2, thus:

[tex]m1\text{ = }\frac{-1}{-\frac{1}{2}}=2[/tex]

The next step is to apply the following equation of a line using the slope m1 and the point is given (-4,-1):

[tex]y\text{ - yo = m1 (x-xo)}[/tex][tex]y-(-1)\text{ = 2(x-(-4))}[/tex][tex]y+1\text{ = }2x+8[/tex][tex]g(x)=2x+7[/tex]

Obs: Consider 'y' as g(x).