Answer:- 4Step-by-step explanation:Let the function is y = ax + b ..... (1)Now, the points (-4,-2) and (-2,-10) lie on the straight line, so the points will satisfy the equation (1).Hence, - 2 = - 4a + b ........ (2) and- 10 = - 2a + b ......(3)Now, solving equations (2) and (3) we will get the values of a and b.Hence, - 2a = 8, ⇒ a = -4Again from equation (3), we get b = - 10 + 2a = - 10 + 2(-4) = - 18 Therefore, the linear equation is y = - 4x - 18Hence, the slope of the straight line is - 4. (Answer)