2007-08-23 18:53:24 · 4 answers · asked by ChArLeNe N 1 in Science & Mathematics ➔ Mathematics
y + 4 = (- 2/3) (x - 5)
3y + 12 = - 2x + 10
3y = - 2x - 2
y = (- 2/3) x - 2/3
2007-08-23 20:18:41 · answer #1 · answered by Como 7 · 1⤊ 0⤋
OK let's just start with point-slope form and manipulate it into slope-intercept form. For a line with point (x1, y1), slope of m, and y-intercept of b, we have the following equations for a line:
point-slope form: y - y1 = m(x - x1)
slope-intercept form: y = mx + b
So, let's just plug in the point (x1, y1) = (5, -4) and slope of m = -2/3 into the first equation:
y - 5 = (-2/3)(x - 5)
==> multiply by 3 on both sides
3(y - 5) = -2(x - 5)
==> distribute on both sides
3y - 15 = -2x + 10
==> add 15 to both sides
3y = -2x + 25
==> divide everything by 3
y = (-2/3)x + 25/3
So, your final answer is: y = (-2/3)x + 25/3.
2007-08-24 02:01:41 · answer #2 · answered by C-Wryte 4 · 0⤊ 0⤋
- 2/3 = (y + 4) / (x - 5)
3(y + 4) = - 2(x - 5)
3y + 12 = -2x + 10
3y = -2x -2
y = -2/3x -2/3
2007-08-24 02:20:04 · answer #3 · answered by CPUcate 6 · 0⤊ 0⤋
Why you asking for ppl to do your homework for you? Good try though :)
2007-08-24 02:01:40 · answer #4 · answered by Anonymous · 0⤊ 0⤋