Write the equation of a line that is perpendicular to x = 3 and that passes through the point ( 0 , − 4 )

We have to write the equation of a line that is perpendicular to the line and that passes through the point .

The general equation of a line in the slope-intercept form is given by:

Where, 'm' is the slope and 'b' is the y-intercept.

Now, we need to find the slope first,

The required line is perpendicular to the line . Slope of the line is undefined. A line perpendicular to that must have slope of '0'. That implies, our required line is parallel to the x-axis.

Therefore, m=0

Now that line is passing through the point .

We can plug in the points to the find the value of y-intercept. After plugging the values, we get:

Hence, the equation of the required line is .

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: