Mathematics: What is an equation of the line that is perpendicular to y-3=4(x+2) and passes through the point (-5, 7)

What is an equation of the line that is perpendicular

Ответ:

gunnatvinson

10.03.2022

Mathematics

$y-7=-\frac{1}{4}(x+5)$

Step-by-step explanation:

The equation of the line in Point-Slope form is:

y-y_1=m(x-x_1)

Where "m" is the slope and ( x_1,y_1 ) is a point on the line.

You can identify that in the equation of the line y-3=4(x+2) , the slope is:

m=4

By definition, the slopes of perpendicular lines are negative reciprocals. Then, the slope of the other line is:

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

Finally, knowing that this line passes through the point (-5, 7),you can substitute this point and the slope into the equation y-y_1=m(x-x_1) to get the equation of this line:

$y-7=-\frac{1}{4}(x-(-5))$

$y-7=-\frac{1}{4}(x+5)$

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Ответ:

gaby4567

09.06.2023

Mathematics

5.8x + (- .35b)

Step-by-step explanation:

2.7b + (-3.05b) = (-.35)

Hopefully this helps you :)

pls mark brainlest ;)

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What is an equation of the line that is perpendicular to y-3=4(x+2) and passes through the point (-5, 7)

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