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?

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) (Show Source): You can put this solution on YOUR website!

Since the equation is in slope intercept form , this means that the equation has the slope and the y-intercept .

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

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

.

Start with the point slope formula

Plug in , , and

Distribute

Multiply

Add 2 to both sides.

Combine like terms.

So the equation of the line parallel to that goes through the point

is .

Here's a graph to visually verify our answer:
Graph of the original equation (red) and the parallel line (green) through the point

.

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