Question

A line has a slope of –6 and passes through the point (–12, 5). What is the equation of the line? Question 7 options: –6x + y = 77 6x + y = –77 –6x + y = 17 6x + y = –67

Answer 1

Answer:

6x + y = - 67

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 6 and (a, b) = (- 12, 5), thus

y - 5 = - 6(x - (- 12)), that is

y - 5 = - 6(x + 12) ← in point- slope form

Distribute right side and rearrange equation

y - 5 = - 6x - 72 ( add 6x to both sides )

6x + y - 5 = - 72 ( add 5 to both sides )

6x + y = - 67 ← in standard form