
How do graph ?
Answer
450.6k+ views
Hint: At first, we compare the given equation with the general slope-intercept form of an arbitrary straight line and find out the slope and y-intercept. Then we plot the point and draw another line through this point making an angle with the -axis. This is the required line.
Complete step-by-step answer:
The general slope-intercept form of a straight line is
Where, is the slope of the line and c is its -intercept.
And the given equation is
First of all, we recognise that as this is a linear equation, so it is an equation of a straight line. Comparing the given equation with that of the general slope-intercept form, we get
and
-intercept means that the point where the line intersects the -axis, is . Therefore, we plot this point on the graph paper.
Slope of a line means the tangent of the angle that the line makes with the positive -axis. If we are given the slope, we can find the angle which the line makes by the equation,
We draw a line at which will be parallel to -axis. The angle made by this line with the -axis then, will be
Then, we draw another line at which makes this angle with the parallel line previously drawn at this point.
Therefore, we can conclude that the last line that we have drawn is nothing but our required line.
Note: Students must be careful while finding out the angle made by the line with the -axis. This problem can also be solved by taking any points that lie on the given line and plot them. Then, if we draw a line joining the points, we get our desired line.
Complete step-by-step answer:
The general slope-intercept form of a straight line is
Where,
And the given equation is
First of all, we recognise that as this is a linear equation, so it is an equation of a straight line. Comparing the given equation with that of the general slope-intercept form, we get
Slope of a line means the tangent of the angle that the line makes with the positive
We draw a line at
Then, we draw another line at
Therefore, we can conclude that the last line that we have drawn is nothing but our required line.

Note: Students must be careful while finding out the angle made by the line with the
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