Answer:
y = (2/5)x + 3/5
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) = (-4, -1) and (x2, y2) = (6, 3)
Slope = (y2 - y1)/(x2 - x1)
= (3 - -1)/(6 - -4)
= 4/10 = 2/5
To find the equation
(y - y1)/(x - x1) = m
(y - -1)/(x - -4) = 2/5
(y + 1)/(x + 4) = 2/5
5(y + 1) = 2(x + 4)
5y + 5 = 2x + 8
5y = 2x + 3
y = (2/5)x + 3/5