Question : What is the equation of the line whose y-intercept is 4 and is making an angle of 45° with the positive x-axis?
Option 1: $x+y=–4$
Option 2: $x–y=4$
Option 3: $x+y=4$
Option 4: $x–y= – 4$
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Correct Answer: $x–y= – 4$
Solution :
Given: The line whose y-intercept is 4 and its making angle of 45° with the positive x-axis.
Slope of the line, $m = \tan 45°=1$
By using the slope and y-intercept of the line,
Slope intercept form, $y=mx+c$
$⇒y=(1)x+4$
$⇒x-y=- 4$
This is the equation of the line.
Hence, the correct answer is $x-y=-4$.
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