Find the equation for the line that is parallel to the line with the equation y = -1/2x - 7 passing through (-3,-4)
2006-11-08 09:29:54 · 3 answers · asked by The Ultimate Answerer 3 in Science & Mathematics ➔ Mathematics
m = -1/2
y=mx+b
-4=(-1/2)-3+b
-4=(3/2)+b
b= -(11/2)
y = (-1/2)x - (11/2)
2006-11-08 09:33:49 · answer #1 · answered by bourqueno77 4 · 1⤊ 0⤋
put the point into the problem
y = mx + b
m is the slope and b is the intercept
in the point (-3, -4) -3 is the x and -4 is the y so put it in
-4 = -1/2(-3) + b
-4 = 3/2 + b
b = -8/3
so if it is parallel to the line it has the same slope the the equation would be:
y = -1/2x - 8/3
2006-11-08 17:42:46 · answer #2 · answered by neonpony1919 3 · 0⤊ 0⤋
Simply, parallel lines have the same gradient. so the gradient is -1/2.
form this equation using the gradient formula.
[y-(-4)] / [x-(-3)] = -1/2
and then organise them into the form of Y = mX +c
You should get y = -1/2x - 5.5
Hope this helps=)
2006-11-08 17:39:45 · answer #3 · answered by luv_phy 3 · 0⤊ 0⤋