Answer:
Equation of the given line is, y = (3/5)x +13/5
Step-by-step explanation:
Points to remember
Equation of the line passing through the poits (x1, y1) and (x2, y2) and slope m is given by
(y - y1)/(x - x1) = m where slope m = (y2 - y1)/(x2 - x1)
To find the slope of line
Here (x1, y1) = (-6, -1) and (x2, y2) = (4, 5)
Slope = (y2 - y1)/(x2 - x1)
= (5 - -1)/(4 - -6)
= 6/10 = 3/5
To find the equation
(y - y1)/(x - x1) = m
(y - -1)/(x - -6) = 3/5
(y + 1)/(x + 6) = 3/5
5(y + 1) = 3(x + 6)
5y + 5 = 3x + 18
5y = 3x + 13
y = (3/5)x +13/5
