On a coordinate plane, a graph has number of years on the x-axis and number of puppies on the y-axis. A line goes through points (0, 0), (1, 4), (3, 12). Kimi’s dog gives birth to a litter of 4 puppies per year, on average. The relationship between time and the expected total number of puppies is shown on the graph. Which other ordered pairs would fall on this line? Select all that apply.

question:

could we have options?

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.