SOLUTION: Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b.
(-6,8); 8x=7y+4
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-> SOLUTION: Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b.
(-6,8); 8x=7y+4
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Question 574774: Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b.
(-6,8); 8x=7y+4 Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! You can start with the fact that parallel lines have identical slopes.
Find the slope of the line given by the equation:
8x = 7y+4 Convert to slope-intercept form: So the slope is
The new equation will start out as:
y = (8/7)x+b
Now find the value of b by substituting the x- and y-coordinates of the given point (-6, 8)
8 = (8/7)(-6)+b Simplify.
8 = -48/7 + b Solve for b.
b = 8+48/7
b = 56/7+48/7
b = 104/7
The final equation is:
(