Answer:
[tex] y + 6 = -2(x - 4) [/tex]
Step-by-step explanation:
Given:
Slope (m) = -2
Point on the line = (4, -6)
Required:
Point-slope equation of the line
Solution:
Point-slope equation takes the following form:
[tex] y - b = m(x - a) [/tex],
Where,
m = slope of the line = -2
(a, b) = coordinates of the point on the line. = (4, -6)
Plug in the values into the slope-point equation
[tex] y - (-6) = -2(x - 4) [/tex]
[tex] y + 6 = -2(x - 4) [/tex]
