What is an equation of the line that is perpendicular to y=−4/5x+3 and passes through the point (4, 12) ?

1 answer:

3 0

The slope of the given line is -4/5. The line perpendicular to that line will have a slope that is the opposite reciprocal. In other words, the perpendicular slope will be 5/4. If it passes through (4, 12), we have an x and a y value to use in y=mx+b. y is 12, x is 4, and we have a slope of 5/4. Filling in accordingly: $12= \frac{5}{4}(4)+b$ and 12 = 5 + b. So b = 7. Rewriting with our new slope and b value, $y= \frac{5}{4}x+7$ . And there you go!

You might be interested in

Peter's salary is twice Anne's salary and half of David's salary. Then the average salary of Anne and David is _ of Peter's sala

satela [25.4K]

<h3><u>Answer:</u></h3>

Average of salary of Anne and David is 1.25 of Peter's Salary

<h3><u>Explanation:</u></h3>

In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.

Let us assume Peter's Salary as P.

Then we can calculate Anne's salary A = $\frac{P}{2}$ .