Answer:
y = -1.6x + 4
Explanation:
slope (gradient) is given by change in y values divided by change in x values.
slope = (4 - -4) / (0 - 5) = (4 + 4)/ -5 = -8/5. = -1.6.
we only need to pick one point for the equation. we shall choose simplest. that is (0,4).
equation of straight line is:
y - y1 = m (x - x1)
where y1 is the y-coordinate of our chosen point, x1 is x-coordinate of our chosen point, m is the value of the slope (-1.6).
so our equation is
y - 4 = -1.6 (x - 0)
y - 4 = -1.6x
add 4 to both sides:
y = -1.6x + 4