Write an equation of a line that passes through the point (2,0) and is perpendicular to the line y=−1/2x+3

Step-by-step explanation:

step 1

Find the slope of the given line

we have

This is the equation of the line in slope intercept form

The slope is

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

----> slope of the given line

therefore

The opposite reciprocal is

step 3

Find the equation of the line in point slope form

we have

substitute

Convert to slope intercept form

see the attached figure to better understand the problem

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: