geometry please help

Question

The equation for line u can be written as y = -1/7 x + 3. Line v includes the point (- 2, - 10) ) and is perpendicular to line u. What is the equation of line v? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answer 1

Since it is perpendicular to line u, line v has a slope of 7 (negative reciprocal of -1/7)), so it's equation in slope-intercept form is:

y = mx + b

y = 7x + b

To find the value of b, plug in the given point (-2,-10):

y = 7x + b

-10 = 7(-2) + b

-10 = -14 + b

4 = b

The final equation for line v is y = 7x + 4