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: $x - y = - 4$

Question

Question : The graph of the equation $x = a (a \neq 0)$ is a_____.
Option 1: line parallel to the x-axis
Option 2: line parallel to the y-axis
Option 3: line at an angle of 45 degree to y-axis
Option 4: line at an angle of 45 degree to x-axis

27 Views

Answer 1

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, $y = m x + c$
$\Rightarrow y = (1) x + 4$
$\Rightarrow x - y = - 4$
This is the equation of the line.
Hence, the correct answer is $x - y = - 4$ .

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Law Preparation

MBA Preparation

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Resources

Exams

Top Schools

Products & Resources

NCERT Study Material

Popular Searches

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=–4Option 2: x–y=4Option 3: x+y=4Option 4: x–y=–4

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC CGL

Download Careers360 App

All this at the convenience of your phone

Scan and download the app

Sign In/Sign Up

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: $x - y = - 4$