"Find the slope and the y-intercept of the line determined by the given equation:"
3x + 4 = 2(y - 3) / 5
just to make it clear, / = divide. its kinda hard to see with regular text.
2007-01-10 17:53:15 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
i forgot to mention, i know that you multiply 5 to each side to get rid of the fraction. but what if it was " - 2(y - 3) / 5 " ? would you divide each side by 5 or -5?
2007-01-10 18:19:46 · update #1
* sorry i meant "multiply each side by 5 or -5? "
2007-01-10 18:20:59 · update #2
Your goal is to put this equation in y = mx + b form. Once you do that, m will be the slope and b will be the y-intercept.
3x + 4 = 2(y - 3) / 5
First, multiply both sides by 5, to get rid of the fraction.
15x + 20 = 2(y - 3)
Divide both sides by 2,
(15/2)x + 10 = y - 3
Now, move the -3 to the left hand side,
(15/2)x + 13 = y, OR
y = (15/2)x + 13
Therefore, m = 15/2 and b = 13, which are your slope and y-intercept respectively.
2007-01-10 18:04:23 · answer #1 · answered by Puggy 7 · 0⤊ 0⤋
3x + 4 =2(y - 3)/5
15x + 20 = (2y - 6)
arranging equation
15x - 2y + 20 + 6=0
15x - 2y +26 =0
15x+26 =2y
y = (15x+26)/2
y = 7.5x + 13
slope is 7.5 & y-intercept is (0,13)
slope is 7.5 & y-intercept is (0,13)
2007-01-11 02:24:39 · answer #2 · answered by MatriX 2 · 0⤊ 0⤋