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Shtirlitz [24]
1 year ago
12

Find an equation of the line parallel to −5x+7y=3 that passes through the point (9,−4). If possible, write the equation in slope

-intercept form.
Mathematics
1 answer:
saul85 [17]1 year ago
7 0

From the original equation we have:

-5x+7y=37y=5x+3y=\frac{5}{7}x+\frac{3}{7}

The slope of this line is 5/7 and for the new equation to be parallel to the original must have the same slope, and using the point-slope formula we have:

y-(-4)=\frac{5}{7}(x-9)y+4=\frac{5}{7}x-\frac{45}{7}y=\frac{5}{7}x-\frac{45}{7}-4y=\frac{5}{7}x-\frac{73}{7}

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