SOLUTION: Write an equation for the line parallel to the line −25x + 5y = 4 through the point (−8, −7)

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Question 967561: Write an equation for the line parallel to the line −25x + 5y = 4 through the point (−8, −7)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an equation for the line parallel to the line -25x+%2B+5y+=+4 through the point (-8, -7):
-25x+%2B+5y+=+4. ..first write it in slope-intercept form to find a slope
+5y+=+25x+%2B4
+y+=+25x%2F5+%2B4%2F5
+y+=+highlight%285%29x+%2B4%2F5....as you can see, the slope is m=5, and we know that the line parallel to this line will have same slope
so far the equation of the parallel line is:
y=5x%2Bb...we will use given point (-8, -7) to find y-intercept b
-7=5%28-8%29%2Bb
-7=-40%2Bb
-7%2B40=b
b=33
so,the equation is y=5x%2B33