Aline passes through (2, 4) and (-2, 2). find the value of y if (6, y) lies on the line.

6

Step-by-step explanation:

The first thing you need to do is find the slope. You calculate this by doing the formula, which is y2 - y1/x2-x1. Your answer ends up being (2-4)/(-2-2) which is 1/2. You plug it in to find your equation, which is y = 1/2x+3. Now plug in 6 from the 3rd point, and you get 3+3 which is 6, which is y.

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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