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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: $x–y= – 4$


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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