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Sagot :
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 7 , x + 2y = 14
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 the line with equation
y - 4 = - [tex]\frac{1}{2}[/tex] (x - 6 ) ← distribute the parenthesis by - [tex]\frac{1}{2}[/tex]
y - 4 = - [tex]\frac{1}{2}[/tex] x + 3 ( add 4 to both sides )
y = - [tex]\frac{1}{2}[/tex] x + 7 ← in slope- intercept form
The equation of a line in general form is
• Ax + By + C = 0 ( where A and B are both non zero )
From the slope- intercept form
y = - [tex]\frac{1}{2}[/tex] x + 7 ( multiply through by 2 )
2y = - x + 14 ( add x to both sides )
x + 2y = 14 ( subtract 14 from both sides )
x + 2y - 14 = 0 ← in general form
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