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SpyIntel [72]
3 years ago
5

Please help within 30ish minutes I’m be g g in g you

Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

x - 2y = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given 2x + y = 3 ( subtract 2x from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2} , thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (5, 4) into the partial equation

4 = \frac{5}{2} + c ⇒ c = \frac{3}{2}

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 3 ( subtract 2y from both sides )

0 = x - 2y + 3 ( subtract 3 from both sides )

- 3 = x - 2y , that is

x - 2y = - 3 ← in standard form

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