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Lelechka [254]
2 years ago
6

Write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1) ​

Mathematics
2 answers:
nevsk [136]2 years ago
7 0

Answer:

-2x+y=-3

Step-by-step explanation:

Recall perpendicular lines have negative-reciprocal slopes. Since the equation 2y+x=4 has a slope of -\frac{1}{2} (y=-\frac{1}{2}x+2), any line perpendicular to it will have a slope of -\frac{1}{-\frac{1}{2}}=2.

Therefore, we have the line:

y=2x+b where b is the y-intercept.

We can plug in the point it passes through to find the final equation:

1=2(2)+b,\\b=1-4,\\b=-3.

Therefore, the equation of the line perpendicular to  2y+x=4 that passes through the point (2, 1) is:

y=2x-3 (slope-intercept form)

However, since the initial line given is in standard form, re-write this equation to standard form:

y=2x-3,\\y-2x=-3,\\\fbox{$-2x+y=-3$}.

Degger [83]2 years ago
6 0

Answer:

Por favor, dame una captura de pantalla de la pregunta No entiendo esto gracias

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