SOLUTION: What is the slope intercept form of (3,2), y= 3x + 4 and is it parallel to what would be the graph of the given equation?

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Question 168152This question is from textbook Skills Practice Workbook Algebra 1
: What is the slope intercept form of (3,2), y= 3x + 4 and is it parallel to what would be the graph of the given equation? This question is from textbook Skills Practice Workbook Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!



Since the equation y=3x%2B4 is in slope intercept form y=mx%2Bb, this means that the equation has the slope m=3 and the y-intercept b=4.


Since parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is m=3.


Now let's use the point slope formula to find the equation of the parallel line by plugging in the slope m=3 and the coordinates of the given point .


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y-2=3%28x-3%29 Plug in m=3, x%5B1%5D=3, and y%5B1%5D=2


y-2=3x%2B3%28-3%29 Distribute


y-2=3x-9 Multiply


y=3x-9%2B2 Add 2 to both sides.


y=3x-7 Combine like terms.


So the equation of the line parallel to y=3x%2B4 that goes through the point is y=3x-7.


Here's a graph to visually verify our answer:
Graph of the original equation y=3x%2B4 (red) and the parallel line y=3x-7 (green) through the point .