2. what is the equation of the line parallel to the line whose equation is 5y + 9 = -2x ? [1] y=-2x +3 [2] y = 2x + 1 b] y = x+4 [4] y=-x-1

Step-by-step explanation:

Paralle lines have the same slope.

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept

We have

Convert to the slope-intercept form:

          subtract 9 from both sides

        divide both sides by 5

Each of the answers to choose from is not the line equation sought.

The equation:

where b is any real number.

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:

mark brainliest!