Answer:
5x − 4 = 3x + 8
5x - 4 <em>+ 4</em> = 3x + 8 <em>+ 4</em>
5x = 3x + 12
5x <em>- 3x</em> = 3x + 12 <em>- 3x</em>
2x = 12
2x <em>/ 2</em> = 12 <em>/ 2</em>
x = 6
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
It would be -5 because 4- 3*12/4 = -5
Hope this helps
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