Question 164884: Find the equation of each line. Write the answer in slope-intercept form
The line is parallel to -3x + 2y = 9 and contains the point (-2 1) Found 2 solutions by Mathtut, MRperkins:Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! We know that lines that are parallel have the same slopes. So we must first write our equation in y=mx+b format to find the slope which is m in this equation. re-writing our equation into theis format we add 3x to both sides and divide by 2 on both sides ending with y = 3/2x + 9/2 so our slope is 3/2. the formula for point slope is y-k = m(x-h) where (h,k) is any point on the line. Our given point is (-2,1). so substituting our know facts we get
y-1= 3/2(x-(-2)) which equals y-1=3/2(x+2)....multiply and simplyfy to y=mx+b format y=3/2x +4
answer: y=3/2x +4
You can put this solution on YOUR website! The slope-intercept form is: y=mx+b
where (x,y) is any given point; m=slope; b=the y-intercept
We are given the equation -3x+2y=9
add 3x to both sides -3x+2y+(3x)=(3x)+9
combine like terms 2y=3x+9
divide both sides by 2
simplify and get
The definition of parallel lines is 2 lines with the same slope [so m still =(3/2)]
*NOTE: You need to double check to make sure the two lines are not the same line.
Now do determine the equation of the line that contains the point (-2,1).
y= m x +b
1=(3/2)(-2)+b
solve:
1=-3+b
add 3 to both sides
4=b
Now we know the slope(m) and the y-intercept(b) for the new line.
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