Question

13. Write the equation of the line that is perpendicular to x + y = -5 and

passes through the point (7,3).

What’s the answer

Answer 1

The Answer is: y = x - 4

Explanation:

The given equation, in standard form:

x + y = -5

In y intercept form:

y = -x - 5, so the slope is -1 (the coefficient of x)

The slope for a perpendicular line is the negative inverse: 1

Use the point slope form of the equation:

y - y1 = m(x - x1)

Passing through point (7, 3) with a slope of 1:

y - 3 = 1(x - 7)

y - 3 = x - 7

y = x - 4