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1 answer:
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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
= -
= -
=
, thus
y = x + c ← is the partial equation
To find c substitute (5, 4) into the partial equation
4 = + c ⇒ c =
y = x +
← 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
we have
Step 1
Applying the distributive property in the left side ( Multiply the factors on the left side)
therefore
<u>the answer is</u>