Which of the following is the equation of a line in slope-intercept form with a slope o fnegative one-half that passes through the point(-2,4)?
2007-07-16 15:47:22 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
y= -1/2x + 3
y= mx + b
y = -1/2x + b
(-2, 4)
4 = -1/2 ( -2) + b
4 = 1 + b
b = 3
2007-07-16 17:03:11 · answer #1 · answered by somente_por_amor 5 · 1⤊ 0⤋
Slope-intercept form is y = mx + b.
Since the slope is (-1/2), this turns into:
y = (-1/2)x + b
Since we're given the point (-2,4), we can solve for b, by plugging in x = -2 and y = 4.
4 = (-1/2)*(-2) + b
4 = 1 + b
b = 3
The equation is y = (-1/2)x + 3.
Hope that helps!
2007-07-16 22:51:18 · answer #2 · answered by Bramblyspam 7 · 0⤊ 0⤋
y= -1/2x + 3
reason:
the formula is y= mx + b
m is the slope so we can fill in
y = -1/2x + b
then we look at the coordinate (-2, 4)
we plug in both numbers
4 = -1/2 ( -2) + b
4 = 1 + b
b = 3
so when we plug in 3 we get
y = -1/2x +3 and its already in intercept form so we don't have to do anything.
Vote me best answer =)
2007-07-16 22:50:33 · answer #3 · answered by Anonymous · 0⤊ 1⤋
Y2- Y1 = m(x2 - x1)
y2 - 4 = 1/2(x2 - (-2))
y - 4 = 1/2 x + 1
y = 1/2x + 5
2007-07-16 22:52:03 · answer #4 · answered by Dr 8'lls 4 · 0⤊ 0⤋
Where are the "following"??
2007-07-16 22:49:45 · answer #5 · answered by The Leviathan 4 · 0⤊ 0⤋
y-4=(-1/2)(x+2)
y=(-1/2)x-1+4
y=-(1/2)x+3
2007-07-16 22:49:43 · answer #6 · answered by Lupus in Fabula 5 · 0⤊ 0⤋