Step-by-step explanation:
A vector is defined as an object which has got some value or magnitude and has a direction as well.
The vector =(0,0) is called the zero vector because it has zero length and no direction at all. The zero vector has an undefined direction.
The zero vector behaves same as the number zero and when added to any vector say "a", we get the answer as vector "a" which remains unchanged.
Answer:
Part a)
We need to find the equation of a straight line passing through two given points in slope-intercept form
Part b)
The information given; we are given two points where the line passes through; (0, -4) and (-2, 2)
Part c)
We shall first determine the slope of the line using the formula;
change in y/change in x. Next, we determine the value of the y-intercept using the general form of the equation of a straight line in slope-intercept form; y = mx+c
Part d)
The slope of the line is calculated as;
(2--4)/(-2-0) =6/-2 = -3
The equation of the line in slope-intercept form becomes;
y = -3x +c
We use the point (0, -4) to determine the value of c;
-4 = -3(0)+c
c = -4
Part e)
Final solution thus becomes;
y=-3x-4
We need to get m by itself. to do that, we divide each side of the equation by -3.3. so, m = 0.333 (repeating decimal).
