SOLUTION: Write an equation line containing the given point and parallel to the given line. express your answer in the form y=m x+b. The equation of the line is y= ____ Simply answer. (Us

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Question 371924: Write an equation line containing the given point and parallel to the given line. express your answer in the form y=m x+b. The equation of the line is y= ____
Simply answer. (Use integers or fraction for any numbers in the expression.
(-7,2); 8x=3y+7
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Write an equation line containing Pt(-7,2) and parallel to the line 8x=3y+7



*Note: The standard point-slope form for an equation of a line y = mx + b  

where m is the slope and b the y-intercept.  

8x=3y+7    Solving for y to put this equation into the slope-intercept form

8x - 7 = 3y

(8/3)x -(7/3) = y

Slope is (8/3)   Parellel lines have equal slopes

New line:

y = (8/3)x + b   Using ordered pair(-7,2) to solve for b

2 = (8/3)*(-7) + b  

6/3 +(56/3) = b

62/3 = b

the equation of the line containing Pt(-7,2) and parallel to the line 8x=3y+7

y = (8/3)x + 62/3