Question

The equation for line r can be written as y=
1
2
x+8. Line s, which is perpendicular to line r, includes the point (2,
–
7). What is the equation of line s?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers

Answer 1

Slope of r is 1/2, so slope of a perpendicular line is -2 (the negative reciprocal).
Use point-slope: y = -2x + b and plug in (2, -7): -7 = -2(2) + b → -7 = -4 + b → b = -3.

Equation: y = -2x - 3