Question 653538: In slope-intercept form. Write an equation. Passes through (2,5) parrallel to the graph 2x+3y=6
Answer by schmidtmomto6(24)   (Show Source):
You can put this solution on YOUR website! 1st, put the given equation in slope-intercept form: 3y=-2x+6, then simplify it: y=-2/3x+2. So the slope of this line is -2/3. So, also, the equation of the new line will be -2/3. So far , this is what we know about the new line: y=-2/3x+b. Now, just plug in the given point (2,5) in for the x&y values in this new equation. (2 for x, and 5 for y) So you now have 5=(-2/3)(2)+b. Now, solve for b: 5=-4/3+b; b=5+4/3, or b=6 1/3. Stick this value of b back in your new equation, so you now have y= -2/3 x + 6 1/3.
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