Question

Can someone please help me with problem, thank u.

Answer 1

Explanation:

1)

The equation of a straight line:

y = k·x + b

x = 0

b = y = - 4

k = (y - y₀) / (x - x₀) = ( 4 - (-4)) / (2 - 0) = 8 / 2 = 4

y = 4·x - 4

2)

The equation of a straight line:

y = 4

3)

Shaded area:

y ≤ 4

y ≥ 4x - 4

Right answer:

D.

y ≤ 4

y ≥ 4x - 4

Answer 2

D

Explanation:

First, we should find the equations of the two lines. The red line is just horizontal, and represents y = 4 while the blue line intersects the y-axis at -4 and every time it goes right one, it goes up 4, so it has a slope of four(also it looks kinda steep, so it cannot have a slope of 1/4). This means the equation is y = 4x - 4.

Notice the red line is dashed, that means the inequality is either less than or greater than. Also, the shaded part is below the vertical line, enclosing all the values of y less than 4, so the first inequality would be y < 4.

The blue line is solid, so it is either greater than or equal to or less than or equal to. To find out which one, we check to se where the point (0, 0) fits in:

y ? 4x - 4

0 ? 0 - 4

0 ? -4

Only a greater than or equal to sign would fit in: 0 ≥ -4

This means the answer is:

y < 4

y ≥ 4x - 4

which is option D