Find a linear equation whose graph is a straight line with the given property. through ( 1/4, -1 ) and parallel to the line 4x-5y= 8

Step-by-step explanation:

Parallel means it has the same slope.  Rewrite the given equation into the form y = mx + b  where m is the slope.

Now use the Point-Slope formula: y - y₁ = m(x - x₁)     where

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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