Graph the linear equation. Find three points that solve the equation, then plot on the graph. -5x -3y = -7
Accepted Solution
A:
-5x - 3y = -7 -3y = 5x - 7 y = -5/3x + 7/3......so there is a slope of -5/3....and a y int of 7/3 (or 2 1/3)
the x int can be found by subbing in 0 for y and solving for x 0 = -5/3x + 7/3 5/3x = 7/3 x = 7/3 * 3/5 x = 7/5 (or 1 2/5)
so lets put this in standard form and find some points on ur line that are not fractions. y = -5/3x + 7/3 5/3x + y = 7/3...multiply everything by 3 5x + 3y = 7....this is standard form
5x + 3y = 7.....subbing in 2 for x 5(2) + 3y = 7 10 + 3y = 7 3y = 7 - 10 3y = -3 y = -3/3 y = -1.......so one solution is (2,-1)
5x + 3y = 7....subbing in -1 for x 5(-1) + 3y = 7 -5 + 3y = 7 3y = 7 + 5 3y = 12 y = 12/3 y = 4.......so another point on ur line is (-1,4)
5x + 3y = 7....subbing in -4 for x 5(-4) + 3y = 7 -20 + 3y = 7 3y = 7 + 20 3y = 27 y = 27/3 y = 9 .....and another point on ur line is (-4,9)
another one is (3,-3)
thats gonna be all the even numbers that u will get on ur graph.. (2,-1), (-1,4), (-4,9) , (3,-3)
so to break it down, ur y int (where the line crosses the y axis) is at (0,7/3) or (0,2 1/3)........ur x int (where ur line crosses the x axis) is at (7/5,0) or (1 2/5,0).....and then there are the points on ur line (2,-1),(-1,4),(-4,9), and (3,-3)