SOLUTION: write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of each equation.
(-5,-4),2x+3y=-1
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Question 115946: write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of each equation.
(-5,-4),2x+3y=-1
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is a point-slope problem. You are given a point, and enough information to determine the slope, because you are given a parallel line and we know that the slopes of parallel lines are equal.
In order to find the slope of a line, solve the equation for y which puts the equation into slope-intercept form where m is the slope and b is the y-intercept.
. so now we know that the slope of the line we are trying to define is
Knowing a point on the line and the slope, we can now use the point-slope form of the line to write the equation directly.
is the equation of the specified line, but it needs to be simplified
Now, you can put it into standard form :
Or, you could put it into slope-intercept form
Notice that the standard form differs from the given equation only in the constant term. This should give you a clue to the relationship between the coefficients on the x and y terms in a standard form equation and the slope of the line.
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