write an equation in standard form using only integers for the line described. The line through (5,4),parallel to y=-2/7x +1
If you need to be parallel to that other line, then you'll use the SAME slope as that other line. The slope of that other line is -2/7 because that's the coefficient on the x-term. Then you use the formula \[y-y _{1}=m(x-x _{1)}\] plugging in your values. \[y-4=-2/7(x-5)\]
Lastly, you'll have to clean that up a bit - distribute the -2/7 to eliminate the parentheses. Then because the problem said only to use integers in your answer you have to remove the fractions by multiplying EVERY term by 7.
Oh and it also says to leave the answer in standard form....so you need to get the x and the y-terms on one side. \[y-4=-2/7x+5/7\] \[y \times7 - 4\times7=-2/7x \times7+5/7\times7\] \[7y-28=-2x+5\] etc.
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