Question

Find the equation of line with -1 and cut off an intercept of 4 units in the negative direction of the y-axis.

Answer 1

Hint: To answer this question use the standard format of equation of line in slope intercept form then put the value of slope and the intercept given in this question. Such that we will get the equation of the required line.

Complete step-by-step answer:
Given the value of slope of the line is -1
The intercept on negative y-axis is 4
 $ \Rightarrow y= -4 $
We know the general equation of line in slope intercept form is $ y = mx + c $ where the m is slope of the line and c is the intercept
Put all the given value in this equation we will get,
 $ \Rightarrow y = - 1x - 4 $
Because here m=-1 and c=-4 because the intercept is made in the negative direction of y axis.
So the required equation of line will be
 $ \Rightarrow y = - x - 4 $
So, the correct answer is “ $ y = - x - 4 $ ”.

Note: Here we have used the intercept as -4 because the intercept made by the line is in the negative direction of y axis. So we take it -4. If the intercept is made by the line in the positive direction of y axis we will take it positive.