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# Recent problems solved by 'SRCCE'

SRCCE answered: 1 problems
 Coordinate-system/144233: the line of an equation with a slope of 2/3 goes through the point (3,5). What is the y-coordinate of the point the line goes through when x=61 solutions Answer 105000 by SRCCE(1)   on 2008-06-04 11:56:17 (Show Source): You can put this solution on YOUR website!We first need to write the equation of the line with slope 2/3 and that goes through the point (3,5). To do this, we need to find the y-intercept. Using the point-slope form of a linear equation, y - y1 = m * (x - x1), substituting (x1, y1) with (3,5) and m with 2/3 y - 5 = 2/3 (x - 3). Now we have to simplify it, using the distributive property on the right side of the equal sign: y - 5 = 2/3 x - 2. (Remember 2/3 * 3 = 2) Add 5 to both sides of the equal sign. y - 5 + 5 = 2/3 x - 2 + 5 And simplify y = 2/3 x + 3. Now we have to find the y-coordinate of the point on the line when x = 6. Substitute 6 for x in the above equation. y = (2/3) (6) + 3 y = 4 + 3 y = 7. So the y-coordinate of the point the line goes through when x = 6 is 7.